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Time-Delay Systems and Their Applications in Engineering 2014

Time-Delay Systems and Their Applications in Engineering 2014 Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2015, Article ID 246351, 3 pages http://dx.doi.org/10.1155/2015/246351 Editorial 1 2 3 4 Ligang Wu, Hak-Keung Lam, Yuxin Zhao, and Zhan Shu Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China Department of Informatics, King’s College London, London WC2R 2LC, UK College of Automation, Harbin Engineering University, Harbin 150001, China Faculty of Engineering and the Environment, University of Southampton, Southampton SO17 1BJ, UK Correspondence should be addressed to Ligang Wu; [email protected] Received 28 December 2014; Accepted 28 December 2014 Copyright © 2015 Ligang Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. It is well known that, together with the increasing expecta- systems and complex interconnected time-delay systems; one tions of system dynamic performances, the delay information paper concerns the asymptotic tracking control for a class in practical systems or processes should not be neglected of nonlinear systems with unknown failures of hysteretic in the modelling procedure. Time delay is a very common actuators; two papers cover the optimal control problem of phenomenon in the engineering world. In fact, many indus- the nonlinear systems with time delay and the calculus vari- trial processes include aeft r eeff ct phenomena in their inner ations with time delays; four papers focus on the robust H dynamics. And actuators, sensors, and efi ld networks that or sliding model control schemes of time-delayed dynamic areinvolvedinfeedback loopsusually introduceunavoidable systems; one paper proposes a novel fractional-order PID delays. eTh theoretical research about delay related systems controller for integrated pressurized water reactor; and the should be very important, and it is surely a rewarding adaptive and impulsive control concepts are also involved in topic for researchers. In the past few decades, there has two papers. What is more, there are vfi e papers concerning been an increasing interest in time-delayed systems from the observer, filter, monitor, and estimation problems of time- control scientists and engineers. On one hand, time delays are delayed dynamic systems or processes. One paper studies the inherent in various engineering systems and oen ft deteriorate identification problem of convex function on Riemannian the main system performances. o Th se delays can cause insta- manifold. bilities of original systems and make it harder for the system Stability is the most important problem for time-delay analysis, controller design or state estimation. To tackle these systems. It is the basic criterion for most of time-delayed disadvantages, special attention must be paid and necessary control systems. This problem has been intensively studied compensationshouldbeappliedinthedesignprocess.Onthe during the past few years. “Modified Schur-Cohn Criterion other hand, the nice properties of time delays may also bring for Stability of Delayed Systems” by J. I. Mulero-Martnez a new vision for our practical design. For example, if dealt gives a modified Schur-Cohn criterion for time-delay linear with properly, the delay elements can really be treated as the time-invariant systems. “New Results on Stability and Sta- oscillation generator or chatting compensator. bilization of Markovian Jump Systems with Time Delay” by In this special issue, most papers are concerned with H. Xiaetal. dealswiththe problemofstochasticstability the stability analysis and control problems of time-delay and stabilization for a class of linear Markovian jumping systems. Among them, vfi e papers investigate the simplified linear systems with discrete time-varying delay. “Improved or improved stability criteria of time-delayed systems; seven Results on Robust Stability for Systems with Interval Time- papers consider the extended stability analysis problems of Varying Delays and Nonlinear Perturbations” by X. Zhou the complex systems with time delay. Based on the existing et al. investigates delay-dependent robust stability criteria control theory, three papers discuss the output-feedback for systems with interval time-varying delays and nonlinear control strategies for the stochastic high-order nonlinear perturbations. “A Delay Decomposition Approach to the 2 Mathematical Problems in Engineering StabilityAnalysisofSingularSystems with Interval Time- Neural Network Control System Based on Nonlinear U- VaryingDelay”byJ.Jiaoand R. Zhanginvestigatesdelay- Model with Time-Varying Delay” by F. Xu et al. proposes dependent stability problem for singular systems with inter- anew approach,namely, U-modelapproach, to solvethe val time-varying delay. “Stability Analysis and H Output problems of analysis and synthesis for nonlinear systems. Tracking Control for Linear Systems with Time-Varying “Optimal Control with Time Delays via the Penalty Method” Delays” by K. H. Kim et al. studies the problem of stability by M. Benharrat and D. F. M. Torres proves necessary analysis and H output tracking control for linear systems optimality conditions of Euler-Lagrange type for a problem with time-varying delays. “Fixed Points and Stability of a of the calculus of variations with time delays, where the delay Class of Integrodifferential Equations” by D. Pi studies a in the unknown function is different from the delay in its class of integrodifferential functional differential equations derivative. “Robust Moving Horizon H Control of Discrete with variable delay. “Robust Stability Analysis of Nonlinear Time-Delayed Systems with Interval Time-Varying Delays” Fractional-Order Time-Variant Systems” by C. Chen and by F. Y. Tascikaraoglu et al. considers the design of a delay- Y. Xie presents a stability theorem for a class of nonlinear dependent type moving horizon state-feedback control for a fractional-order time-variant systems with fractional-order class of linear discrete-time systems subject to time-varying 𝛼 (0≤𝛼<1 ) by using the Gronwall-Bellman lemma. state delays, norm bounded uncertainties, and disturbances “Stability and Hopf Bifurcation of a Predator-Prey Model with bounded energies. “Time-Delayed Impulsive Control of with Distributed Delays and Competition Term” by L.-Z. Chaotic System Based on T-S Fuzzy Model” by C. Hu and H. Zheng considers a class of predator-prey systems with dis- Jiang is concerned with the time-delayed impulsive control tributed delays and competition term. “On Less Conservative and synchronization of general chaotic system based on T-S Stability Criteria for Neural Networks with Time-Varying fuzzy model. “Optimal Control of a Nonlinear Time-Delay Delays Utilizing Wirtinger-Based Integral Inequality” by O. System in Batch Fermentation Process” by Y. Yu considers M. Kwon et al. investigates the problem of stability analysis an optimal control problem involving a nonlinear time-delay for neural networks with time-varying delays. “Simplified system to getahigh yieldofproductsinbatch process. Stability Criteria for Delayed Neutral Systems” by X. Zhang “Output-Feedback Control for a Class of Stochastic High- et al. simplifies several existing asymptotic stability criteria Order Feedforward Nonlinear Systems with Delay” by Q. in the form of linear matrix inequalities. “Stability Analysis Ma et al. investigates the problem of global output-feedback of Fractional-Order Nonlinear Systems with Delay” by Y. stabilization for a class of stochastic high-order time-delay Wang and T. Li studies the stability analysis of fractional- feedforward nonlinear systems with different power orders. order nonlinear systems with delay. “A Less Conservative “AdaptiveFuzzy Output-Feedback Method AppliedtoFin Stability Criterion for Delayed Stochastic Genetic Regulatory Control for Time-Delay Ship Roll Stabilization” by R. Bai Networks” by T. Yu et al. concerns the problem of stability considers the ship roll stabilization by n fi control system and analysis for delayed stochastic genetic regulatory networks. investigates the adaptive fuzzy output-feedback control. In order to obtain the desired system performance, some Some specific problems about observer, estimation, mon- feasible controllers must be applied to regulate the systems itoring, filtering, and identification of time-delay systems and with time delays. “Robust H Control of Neutral System industrial processes are very important. These topics have with Time-Delay for Dynamic Positioning Ships” by D. Zhao been analyzed separately. “Observer Design for One-Sided et al. proposes the less conservative result for the neutral Lipschitz Nonlinear Systems Subject to Measurement Delays” system with state-derivative feedback by the delay decom- by S. Ahmad et al. presents a novel nonlinear observer- position approach and linear matrix inequality. “Discrete- design approach to one-sided Lipschitz nonlinear systems Time Sliding Mode Control for Uncertain Networked System in the presence of output delays. “Estimation of Nonlinear SubjecttoTimeDelay”byS.C.Garciaetal. dealswith FunctionsofState Vector forLinearSystems with Time- uncertain systems with networked sliding mode control, sub- Delays and Uncertainties” by I. Y. Song et al. focuses on ject to time delay. “Adaptive Output Feedback Sliding Mode estimation of a nonlinear function of state vector in discrete- Control for Complex Interconnected Time-Delay Systems” time linear systems with time delays and model uncertainties. by H. V. Van et al. extends the decentralized output-feedback “H Filtering for Discrete Markov Jump Singular Systems sliding mode control scheme to stabilize a class of complex with Mode-Dependent Time Delay Based on T-S Fuzzy interconnected time-delay systems. “Asymptotic Tracking Model” by C. Gong and Y. Zeng investigates the H filtering Control for a Class of Nonlinear Systems with Unknown problemofdiscretesingularMarkovjumpsystems with Failures of Hysteretic Actuators” by C. Hou et al. proposes mode-dependent time delay based on T-S fuzzy model. an adaptive failure compensation controller for a class of “Monitoring of Nonlinear Time-Delay Processes Based on nonlinear systems preceded by hysteretic actuators. “A Novel Adaptive Method and Moving Window” by Y. Fan et al. Fractional-Order PID Controller for Integrated Pressurized proposes a new adaptive KPCA algorithm for monitoring Water Reactor Based on Wavelet Kernel Neural Network nonlinear time-delay process. “Experimental Evaluation of Algorithm” by Y. Zhao et al. presents a novel wavelet kernel FSM-Based Testing Cost for Time-Delay Systems” by Z. Wei neural network with wavelet kernel function. “Quasipoly- et al. presents a timer embedded FSM model to design a nomial Approach to Simultaneous Robust Control of Time- comparative strategy for assessing the coverage criteria and DelaySystems”byN.Semenicˇ et al. investigates a control test suites generation methods for time-delay systems. “H law for retarded time-delay systems, concerning infinite Filtering for Networked Systems with Bounded Measurement closed-loop spectrum assignment. “Research on Adaptive Missing” by H. Yang et al. is concerned with the H filtering ∞ Mathematical Problems in Engineering 3 problem for networked systems with bounded measurement Of course, the selected topics and papers are not a missing. “eTh Identification of Convex Function on Rieman- comprehensive representation of the area of this special nian Manifold” by L. Zou et al. presents the identification of issue. Nonetheless, they represent the rich and many-faceted convex function on Riemannian manifold using the Penot knowledge and we hope the readers will nd fi them well generalizeddirectional derivativeand theClarkegeneralized readable and useful. gradient. Many practical applications related with time delay are Acknowledgments also concerned with. “Approximate Design of Optimal Dis- turbance Rejection for Discrete-Time Systems with Multi- We would like to express our great appreciation to the authors ple Delayed Inputs: Application to a Jacket-Type Offshore for their remarkable contributions in assisting us. Finally, all Structure” by S.-Y. Han et al. is concerned with the problem reviewers’ fundamental work on these papers is also very of optimal disturbance rejection for a class of discrete- greatly acknowledged. time systems with multiple delayed inputs. “eTh Impact Ligang Wu of Awareness Programs with Recruitment and Delay on Hak-Keung Lam the Spread of an Epidemic” by L. Zuo et al. discusses the Yuxin Zhao impact of awareness programs on the spread and control Zhan Shu of infectious diseases in a given region. “The Application of Time-Delay-Dependent H Control in the Transmission Eeff ctofMonetaryPolicyonRealEstateMarket” by H. Guo et al. uses a time-delay-dependent H control method to analyze the transmission eeff ct of monetary policy on the real estate market. “Modelling and Simulation of Volume Controlled Mechanical Ventilation System” by Y. Shi et al. derives a new mathematical model of the ventilation system. “Robust Predictive Control of Water Level in an Experimental Pilot Plant with Uncertain Input Delay” by F. Q. Rossi and R. K. H. Galvao ˜ is concerned with the predictive control of water level in an experimental pilot plant, in the presence of input constraints and uncertain time delays. “Study of Robust H Filtering Application in Loosely Coupled INS/GPS System” by L. Zhao et al. gives an illustration of minimum mean square Kalman filter in integration GPS/INS system and a contrast with traditional Kalman filter. “Modeling and Bifur- cation Research of a Worm Propagation Dynamical System with Time Delay” by Y. Yao et al. adopts both vaccination and quarantine strategy to control the internet worm propagation. “Global Existence and Uniqueness of Solutions for a Free Boundary Problem Modeling the Growth of Tumors with a Necrotic Core and a Time Delay in Process of Proliferation” by S. Xu and M. Huang studies a mathematical model for the growth of necrotic tumors with time delays in proliferation. For both the theoretical and practical impact, time-delay systems have been an enduring theme in the study of differ- ential equations, stochastic processes, statistics theory, and systems theory. eTh se research topics have broad applications to anumberofareas such as mechanical,electrical, and chemical engineering. And the theoretical research results about time-delayed systems have played an important role in solving these delay related problems. Recently, some open problems about time delay have also emerged, such as using the delayed inputs to stabilize and regulate the original system, adaptive identification of delays in practi- cal problems, taking advantage of the stochastic properties of time delay, and considering the delay information for observers. Needless to say, these open problems are both challenging and rewarding for theoretical researchers and practical engineers. And many articles in this special issue have been concerned with these most recent theoretical developments and practical applications. Advances in Advances in Journal of Journal of Operations Research Decision Sciences Applied Mathematics Algebra Probability and Statistics Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 The Scientific International Journal of World Journal Die ff rential Equations Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 Submit your manuscripts at http://www.hindawi.com International Journal of Advances in Combinatorics Mathematical Physics Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 Journal of Journal of Abstract and Discrete Dynamics in Mathematical Problems Complex Analysis Mathematics in Engineering Applied Analysis Nature and Society Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 International Journal of Journal of Mathematics and Discrete Mathematics Mathematical Sciences Journal of International Journal of Journal of Function Spaces Stochastic Analysis Optimization Hindawi Publishing Corporation Hindawi Publishing Corporation Volume 2014 Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Problems in Engineering Unpaywall

Time-Delay Systems and Their Applications in Engineering 2014

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Abstract

Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 2015, Article ID 246351, 3 pages http://dx.doi.org/10.1155/2015/246351 Editorial 1 2 3 4 Ligang Wu, Hak-Keung Lam, Yuxin Zhao, and Zhan Shu Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China Department of Informatics, King’s College London, London WC2R 2LC, UK College of Automation, Harbin Engineering University, Harbin 150001, China Faculty of Engineering and the Environment, University of Southampton, Southampton SO17 1BJ, UK Correspondence should be addressed to Ligang Wu; [email protected] Received 28 December 2014; Accepted 28 December 2014 Copyright © 2015 Ligang Wu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. It is well known that, together with the increasing expecta- systems and complex interconnected time-delay systems; one tions of system dynamic performances, the delay information paper concerns the asymptotic tracking control for a class in practical systems or processes should not be neglected of nonlinear systems with unknown failures of hysteretic in the modelling procedure. Time delay is a very common actuators; two papers cover the optimal control problem of phenomenon in the engineering world. In fact, many indus- the nonlinear systems with time delay and the calculus vari- trial processes include aeft r eeff ct phenomena in their inner ations with time delays; four papers focus on the robust H dynamics. And actuators, sensors, and efi ld networks that or sliding model control schemes of time-delayed dynamic areinvolvedinfeedback loopsusually introduceunavoidable systems; one paper proposes a novel fractional-order PID delays. eTh theoretical research about delay related systems controller for integrated pressurized water reactor; and the should be very important, and it is surely a rewarding adaptive and impulsive control concepts are also involved in topic for researchers. In the past few decades, there has two papers. What is more, there are vfi e papers concerning been an increasing interest in time-delayed systems from the observer, filter, monitor, and estimation problems of time- control scientists and engineers. On one hand, time delays are delayed dynamic systems or processes. One paper studies the inherent in various engineering systems and oen ft deteriorate identification problem of convex function on Riemannian the main system performances. o Th se delays can cause insta- manifold. bilities of original systems and make it harder for the system Stability is the most important problem for time-delay analysis, controller design or state estimation. To tackle these systems. It is the basic criterion for most of time-delayed disadvantages, special attention must be paid and necessary control systems. This problem has been intensively studied compensationshouldbeappliedinthedesignprocess.Onthe during the past few years. “Modified Schur-Cohn Criterion other hand, the nice properties of time delays may also bring for Stability of Delayed Systems” by J. I. Mulero-Martnez a new vision for our practical design. For example, if dealt gives a modified Schur-Cohn criterion for time-delay linear with properly, the delay elements can really be treated as the time-invariant systems. “New Results on Stability and Sta- oscillation generator or chatting compensator. bilization of Markovian Jump Systems with Time Delay” by In this special issue, most papers are concerned with H. Xiaetal. dealswiththe problemofstochasticstability the stability analysis and control problems of time-delay and stabilization for a class of linear Markovian jumping systems. Among them, vfi e papers investigate the simplified linear systems with discrete time-varying delay. “Improved or improved stability criteria of time-delayed systems; seven Results on Robust Stability for Systems with Interval Time- papers consider the extended stability analysis problems of Varying Delays and Nonlinear Perturbations” by X. Zhou the complex systems with time delay. Based on the existing et al. investigates delay-dependent robust stability criteria control theory, three papers discuss the output-feedback for systems with interval time-varying delays and nonlinear control strategies for the stochastic high-order nonlinear perturbations. “A Delay Decomposition Approach to the 2 Mathematical Problems in Engineering StabilityAnalysisofSingularSystems with Interval Time- Neural Network Control System Based on Nonlinear U- VaryingDelay”byJ.Jiaoand R. Zhanginvestigatesdelay- Model with Time-Varying Delay” by F. Xu et al. proposes dependent stability problem for singular systems with inter- anew approach,namely, U-modelapproach, to solvethe val time-varying delay. “Stability Analysis and H Output problems of analysis and synthesis for nonlinear systems. Tracking Control for Linear Systems with Time-Varying “Optimal Control with Time Delays via the Penalty Method” Delays” by K. H. Kim et al. studies the problem of stability by M. Benharrat and D. F. M. Torres proves necessary analysis and H output tracking control for linear systems optimality conditions of Euler-Lagrange type for a problem with time-varying delays. “Fixed Points and Stability of a of the calculus of variations with time delays, where the delay Class of Integrodifferential Equations” by D. Pi studies a in the unknown function is different from the delay in its class of integrodifferential functional differential equations derivative. “Robust Moving Horizon H Control of Discrete with variable delay. “Robust Stability Analysis of Nonlinear Time-Delayed Systems with Interval Time-Varying Delays” Fractional-Order Time-Variant Systems” by C. Chen and by F. Y. Tascikaraoglu et al. considers the design of a delay- Y. Xie presents a stability theorem for a class of nonlinear dependent type moving horizon state-feedback control for a fractional-order time-variant systems with fractional-order class of linear discrete-time systems subject to time-varying 𝛼 (0≤𝛼<1 ) by using the Gronwall-Bellman lemma. state delays, norm bounded uncertainties, and disturbances “Stability and Hopf Bifurcation of a Predator-Prey Model with bounded energies. “Time-Delayed Impulsive Control of with Distributed Delays and Competition Term” by L.-Z. Chaotic System Based on T-S Fuzzy Model” by C. Hu and H. Zheng considers a class of predator-prey systems with dis- Jiang is concerned with the time-delayed impulsive control tributed delays and competition term. “On Less Conservative and synchronization of general chaotic system based on T-S Stability Criteria for Neural Networks with Time-Varying fuzzy model. “Optimal Control of a Nonlinear Time-Delay Delays Utilizing Wirtinger-Based Integral Inequality” by O. System in Batch Fermentation Process” by Y. Yu considers M. Kwon et al. investigates the problem of stability analysis an optimal control problem involving a nonlinear time-delay for neural networks with time-varying delays. “Simplified system to getahigh yieldofproductsinbatch process. Stability Criteria for Delayed Neutral Systems” by X. Zhang “Output-Feedback Control for a Class of Stochastic High- et al. simplifies several existing asymptotic stability criteria Order Feedforward Nonlinear Systems with Delay” by Q. in the form of linear matrix inequalities. “Stability Analysis Ma et al. investigates the problem of global output-feedback of Fractional-Order Nonlinear Systems with Delay” by Y. stabilization for a class of stochastic high-order time-delay Wang and T. Li studies the stability analysis of fractional- feedforward nonlinear systems with different power orders. order nonlinear systems with delay. “A Less Conservative “AdaptiveFuzzy Output-Feedback Method AppliedtoFin Stability Criterion for Delayed Stochastic Genetic Regulatory Control for Time-Delay Ship Roll Stabilization” by R. Bai Networks” by T. Yu et al. concerns the problem of stability considers the ship roll stabilization by n fi control system and analysis for delayed stochastic genetic regulatory networks. investigates the adaptive fuzzy output-feedback control. In order to obtain the desired system performance, some Some specific problems about observer, estimation, mon- feasible controllers must be applied to regulate the systems itoring, filtering, and identification of time-delay systems and with time delays. “Robust H Control of Neutral System industrial processes are very important. These topics have with Time-Delay for Dynamic Positioning Ships” by D. Zhao been analyzed separately. “Observer Design for One-Sided et al. proposes the less conservative result for the neutral Lipschitz Nonlinear Systems Subject to Measurement Delays” system with state-derivative feedback by the delay decom- by S. Ahmad et al. presents a novel nonlinear observer- position approach and linear matrix inequality. “Discrete- design approach to one-sided Lipschitz nonlinear systems Time Sliding Mode Control for Uncertain Networked System in the presence of output delays. “Estimation of Nonlinear SubjecttoTimeDelay”byS.C.Garciaetal. dealswith FunctionsofState Vector forLinearSystems with Time- uncertain systems with networked sliding mode control, sub- Delays and Uncertainties” by I. Y. Song et al. focuses on ject to time delay. “Adaptive Output Feedback Sliding Mode estimation of a nonlinear function of state vector in discrete- Control for Complex Interconnected Time-Delay Systems” time linear systems with time delays and model uncertainties. by H. V. Van et al. extends the decentralized output-feedback “H Filtering for Discrete Markov Jump Singular Systems sliding mode control scheme to stabilize a class of complex with Mode-Dependent Time Delay Based on T-S Fuzzy interconnected time-delay systems. “Asymptotic Tracking Model” by C. Gong and Y. Zeng investigates the H filtering Control for a Class of Nonlinear Systems with Unknown problemofdiscretesingularMarkovjumpsystems with Failures of Hysteretic Actuators” by C. Hou et al. proposes mode-dependent time delay based on T-S fuzzy model. an adaptive failure compensation controller for a class of “Monitoring of Nonlinear Time-Delay Processes Based on nonlinear systems preceded by hysteretic actuators. “A Novel Adaptive Method and Moving Window” by Y. Fan et al. Fractional-Order PID Controller for Integrated Pressurized proposes a new adaptive KPCA algorithm for monitoring Water Reactor Based on Wavelet Kernel Neural Network nonlinear time-delay process. “Experimental Evaluation of Algorithm” by Y. Zhao et al. presents a novel wavelet kernel FSM-Based Testing Cost for Time-Delay Systems” by Z. Wei neural network with wavelet kernel function. “Quasipoly- et al. presents a timer embedded FSM model to design a nomial Approach to Simultaneous Robust Control of Time- comparative strategy for assessing the coverage criteria and DelaySystems”byN.Semenicˇ et al. investigates a control test suites generation methods for time-delay systems. “H law for retarded time-delay systems, concerning infinite Filtering for Networked Systems with Bounded Measurement closed-loop spectrum assignment. “Research on Adaptive Missing” by H. Yang et al. is concerned with the H filtering ∞ Mathematical Problems in Engineering 3 problem for networked systems with bounded measurement Of course, the selected topics and papers are not a missing. “eTh Identification of Convex Function on Rieman- comprehensive representation of the area of this special nian Manifold” by L. Zou et al. presents the identification of issue. Nonetheless, they represent the rich and many-faceted convex function on Riemannian manifold using the Penot knowledge and we hope the readers will nd fi them well generalizeddirectional derivativeand theClarkegeneralized readable and useful. gradient. Many practical applications related with time delay are Acknowledgments also concerned with. “Approximate Design of Optimal Dis- turbance Rejection for Discrete-Time Systems with Multi- We would like to express our great appreciation to the authors ple Delayed Inputs: Application to a Jacket-Type Offshore for their remarkable contributions in assisting us. Finally, all Structure” by S.-Y. Han et al. is concerned with the problem reviewers’ fundamental work on these papers is also very of optimal disturbance rejection for a class of discrete- greatly acknowledged. time systems with multiple delayed inputs. “eTh Impact Ligang Wu of Awareness Programs with Recruitment and Delay on Hak-Keung Lam the Spread of an Epidemic” by L. Zuo et al. discusses the Yuxin Zhao impact of awareness programs on the spread and control Zhan Shu of infectious diseases in a given region. “The Application of Time-Delay-Dependent H Control in the Transmission Eeff ctofMonetaryPolicyonRealEstateMarket” by H. Guo et al. uses a time-delay-dependent H control method to analyze the transmission eeff ct of monetary policy on the real estate market. “Modelling and Simulation of Volume Controlled Mechanical Ventilation System” by Y. Shi et al. derives a new mathematical model of the ventilation system. “Robust Predictive Control of Water Level in an Experimental Pilot Plant with Uncertain Input Delay” by F. Q. Rossi and R. K. H. Galvao ˜ is concerned with the predictive control of water level in an experimental pilot plant, in the presence of input constraints and uncertain time delays. “Study of Robust H Filtering Application in Loosely Coupled INS/GPS System” by L. Zhao et al. gives an illustration of minimum mean square Kalman filter in integration GPS/INS system and a contrast with traditional Kalman filter. “Modeling and Bifur- cation Research of a Worm Propagation Dynamical System with Time Delay” by Y. Yao et al. adopts both vaccination and quarantine strategy to control the internet worm propagation. “Global Existence and Uniqueness of Solutions for a Free Boundary Problem Modeling the Growth of Tumors with a Necrotic Core and a Time Delay in Process of Proliferation” by S. Xu and M. Huang studies a mathematical model for the growth of necrotic tumors with time delays in proliferation. For both the theoretical and practical impact, time-delay systems have been an enduring theme in the study of differ- ential equations, stochastic processes, statistics theory, and systems theory. eTh se research topics have broad applications to anumberofareas such as mechanical,electrical, and chemical engineering. And the theoretical research results about time-delayed systems have played an important role in solving these delay related problems. Recently, some open problems about time delay have also emerged, such as using the delayed inputs to stabilize and regulate the original system, adaptive identification of delays in practi- cal problems, taking advantage of the stochastic properties of time delay, and considering the delay information for observers. Needless to say, these open problems are both challenging and rewarding for theoretical researchers and practical engineers. And many articles in this special issue have been concerned with these most recent theoretical developments and practical applications. Advances in Advances in Journal of Journal of Operations Research Decision Sciences Applied Mathematics Algebra Probability and Statistics Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 The Scientific International Journal of World Journal Die ff rential Equations Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 Submit your manuscripts at http://www.hindawi.com International Journal of Advances in Combinatorics Mathematical Physics Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 Journal of Journal of Abstract and Discrete Dynamics in Mathematical Problems Complex Analysis Mathematics in Engineering Applied Analysis Nature and Society Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 International Journal of Journal of Mathematics and Discrete Mathematics Mathematical Sciences Journal of International Journal of Journal of Function Spaces Stochastic Analysis Optimization Hindawi Publishing Corporation Hindawi Publishing Corporation Volume 2014 Hindawi Publishing Corporation Hindawi Publishing Corporation Hindawi Publishing Corporation http://www.hindawi.com Volume 2014 http://www.hindawi.com http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014 http://www.hindawi.com Volume 2014

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