Technical communique: A new result on stability analysis for stochastic neutral systems

Authors:
Yun Chen;Wei Xing Zheng;Anke Xue
Affiliations:
Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China and School of Computing and Mathematics, University of Western Sydney, Penrith South DC NSW 1797, Australia;School of Computing and Mathematics, University of Western Sydney, Penrith South DC NSW 1797, Australia;Institute of Information and Control, Hangzhou Dianzi University, Hangzhou 310018, China
Venue:
Automatica (Journal of IFAC)
Year:
2010

Citing 4
Cited 4

Stability of Time-Delay Systems

Stability of Time-Delay Systems
Delay-dependent robust stability and l2-gain analysis of a class of nonlinear time-delay systems

Automatica (Journal of IFAC)
A new design of delay-dependent robust H∞filtering for discrete-time T-S fuzzy systems with time-varying delay

IEEE Transactions on Fuzzy Systems
Brief Filtering on nonlinear time-delay stochastic systems

Automatica (Journal of IFAC)

Stabilization for switched stochastic neutral systems under asynchronous switching

Information Sciences: an International Journal
New criteria on asymptotic behavior of neutral stochastic functional differential equations

Automatica (Journal of IFAC)
State feedback stabilization for neutral-type neural networks with time-varying discrete and unbounded distributed delays

Journal of Control Science and Engineering
LQ control for Itô-type stochastic systems with input delays

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.15

Visualization

Abstract

This paper discusses the mean-square exponential stability of stochastic linear systems of neutral type. Applying the Lyapunov-Krasovskii theory, a linear matrix inequality-based delay-dependent stability condition is presented. The use of model transformations, cross-term bounding techniques or additional matrix variables is all avoided, thus the method leads to a simple criterion and shows less conservatism. The new result is derived based on the generalized Finsler lemma (GFL). GFL reduces to the standard Finsler lemma in the absence of stochastic perturbations, and it can be used in the analysis and synthesis of stochastic delay systems. Moreover, GFL is also employed to obtain stability criteria for a class of stochastic neutral systems which have different discrete and neutral delays. Numerical examples including a comparison with some recent results in the literature are provided to show the effectiveness of the new results.