Delay-dependent stochastic stability and H∞-control of uncertain neutral stochastic systems with time delay

Wu-Hua Chen; Wei Xing Zheng; Yanjun Shen

doi:10.1109/TAC.2009.2017981

Delay-dependent stochastic stability and H∞-control of uncertain neutral stochastic systems with time delay

Wu-Hua Chen, Wei Xing Zheng, Yanjun Shen

Research output: Contribution to journal › Article

Abstract

In this technical note, the problems of robust stochastic stability, stabilization and H∞-control for uncertain neutral stochastic systems with time-delay are investigated. The parametric uncertainties are assumed to be time-varying and norm-bounded. Delay-dependent sufficient conditions for the above problems are developed in terms of linear matrix inequalities. Four numerical examples are given which illustrate a relatively low conservatism of the theoretical results.

Original language	English
Pages (from-to)	1660-1667
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	54
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2009.2017981
Publication status	Published - 2009

Keywords

automation
stochastic systems

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10.1109/TAC.2009.2017981

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title = "Delay-dependent stochastic stability and H∞-control of uncertain neutral stochastic systems with time delay",

abstract = "In this technical note, the problems of robust stochastic stability, stabilization and H∞-control for uncertain neutral stochastic systems with time-delay are investigated. The parametric uncertainties are assumed to be time-varying and norm-bounded. Delay-dependent sufficient conditions for the above problems are developed in terms of linear matrix inequalities. Four numerical examples are given which illustrate a relatively low conservatism of the theoretical results.",

keywords = "automation, stochastic systems",

author = "Wu-Hua Chen and Zheng, {Wei Xing} and Yanjun Shen",

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TY - JOUR

T1 - Delay-dependent stochastic stability and H∞-control of uncertain neutral stochastic systems with time delay

AU - Chen, Wu-Hua

AU - Zheng, Wei Xing

AU - Shen, Yanjun

PY - 2009

Y1 - 2009

N2 - In this technical note, the problems of robust stochastic stability, stabilization and H∞-control for uncertain neutral stochastic systems with time-delay are investigated. The parametric uncertainties are assumed to be time-varying and norm-bounded. Delay-dependent sufficient conditions for the above problems are developed in terms of linear matrix inequalities. Four numerical examples are given which illustrate a relatively low conservatism of the theoretical results.

AB - In this technical note, the problems of robust stochastic stability, stabilization and H∞-control for uncertain neutral stochastic systems with time-delay are investigated. The parametric uncertainties are assumed to be time-varying and norm-bounded. Delay-dependent sufficient conditions for the above problems are developed in terms of linear matrix inequalities. Four numerical examples are given which illustrate a relatively low conservatism of the theoretical results.

KW - automation

KW - stochastic systems

UR - http://handle.uws.edu.au:8081/1959.7/502673

U2 - 10.1109/TAC.2009.2017981

DO - 10.1109/TAC.2009.2017981

M3 - Article

SN - 0018-9286

VL - 54

SP - 1660

EP - 1667

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 7

ER -

Delay-dependent stochastic stability and H∞-control of uncertain neutral stochastic systems with time delay

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