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This paper addresses the D -stability problem of linear continuous-time systems with multiple time delays. A sufficient condition to guarantee all poles of a given linear time-delay system located in the specified region is proposed. This condition can be solved using LMI toolbox. The result is...
A stochastic optimal control strategy for quasi-Hamiltonian systems with actuator saturation is proposed based on the stochastic averaging method and stochastic dynamical programming principle. First, the partially completed averaged Itô stochastic differential equations for the energy processes...
This work proposes and studies a new repetitive controller for discrete-time systems which are required to track or to attenuate periodic signals. The main characteristic of the proposed controller is its passivity. This fact implies closed-loop stable behavior when it is used with discrete-time...
In this paper, we consider the robust Hurwitz stability analysis problems of a single parameter-dependent matrix A ( θ ) ≔ A 0 + θ A 1 over θ ∈ ( - 1 , 1 ) , where A 0 , A 1 ∈ R n × n with A 0 being Hurwitz stable. In particular, we are interested in the degree N of the polynomial...
In this paper, the notions of SNS-invariance and SNS-domain of attraction are introduced. The SNS-domain of attraction serves as an estimation of the domain of attraction of a saturated system. It is shown that, in the case of single input saturated systems, any contractive set is contained in...
A novel direct approach for identifying continuous-time linear dynamic errors-in-variables models is presented in this paper. The effects of the noise on the state-variable filter outputs are analyzed. Subsequently, a few algorithms to obtain consistent continuous-time parameter estimates in the...
Invariant subspaces of a matrix A are considered which are obtained by truncation of a Jordan basis of a generalized eigenspace of A . We characterize those subspaces which are independent of the choice of the Jordan basis. An application to Hamilton matrices and algebraic Riccati equations is...
In this paper, a benchmark problem is proposed in order to assess comparisons between different optimal control problem solvers for hybrid nonlinear systems. The model is nonlinear with 20 states, 4 continuous controls, 1 discrete binary control and 4 configurations. Transitions between...
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