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p‐Moment exponential robust stability of grey neutral stochastic delay systems

p‐Moment exponential robust stability of grey neutral stochastic delay systems Purpose – The purpose of this paper is to obtain the criteria of p‐moment exponential robust stability for a class of grey neutral stochastic delay systems. Design/methodology/approach – By constructing a Lyapunov‐Krasovskii functional and employing the decomposition technique of continuous matrix‐covered sets of grey matrix and using three key inequalities, the paper investigates the p‐moment exponential robust stability for a class of grey neutral stochastic delay systems. A numeric example is given to demonstrate the effectiveness of the criteria presented in the paper. Findings – The results not only can be used to judge the p‐moment exponential robust stability of the systems researched in the paper, but also can be applied in the stability analysis of grey non‐neutral stochastic systems. Practical implications – The method exposed in the paper can be used in the analysis and designation of practical stochastic control systems. Originality/value – The paper succeeds in obtaining the criteria of p‐moment exponential robust stability for grey neutral stochastic delay systems by constructing a Lyapunov‐Krasovskii functional and employing the decomposition technique of continuous matrix‐covered sets of grey matrix and using three key inequalities. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Grey Systems: Theory and Application Emerald Publishing

p‐Moment exponential robust stability of grey neutral stochastic delay systems

Grey Systems: Theory and Application , Volume 1 (1): 15 – Jan 28, 2011

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Publisher
Emerald Publishing
Copyright
Copyright © 2011 Emerald Group Publishing Limited. All rights reserved.
ISSN
2043-9377
DOI
10.1108/20439371111106740
Publisher site
See Article on Publisher Site

Abstract

Purpose – The purpose of this paper is to obtain the criteria of p‐moment exponential robust stability for a class of grey neutral stochastic delay systems. Design/methodology/approach – By constructing a Lyapunov‐Krasovskii functional and employing the decomposition technique of continuous matrix‐covered sets of grey matrix and using three key inequalities, the paper investigates the p‐moment exponential robust stability for a class of grey neutral stochastic delay systems. A numeric example is given to demonstrate the effectiveness of the criteria presented in the paper. Findings – The results not only can be used to judge the p‐moment exponential robust stability of the systems researched in the paper, but also can be applied in the stability analysis of grey non‐neutral stochastic systems. Practical implications – The method exposed in the paper can be used in the analysis and designation of practical stochastic control systems. Originality/value – The paper succeeds in obtaining the criteria of p‐moment exponential robust stability for grey neutral stochastic delay systems by constructing a Lyapunov‐Krasovskii functional and employing the decomposition technique of continuous matrix‐covered sets of grey matrix and using three key inequalities.

Journal

Grey Systems: Theory and ApplicationEmerald Publishing

Published: Jan 28, 2011

Keywords: Stochastic processes; Stability (control theory); Systems theory

References