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author:

Wang, Zidong (Wang, Zidong.) [1] | Shu, Huisheng (Shu, Huisheng.) [2] | Liu, Xiaohui (Liu, Xiaohui.) [3]

Indexed by:

EI Scopus

Abstract:

This paper is concerned with the stabilization problem for a class of continuous stochastic time-delay systems with nonlinear disturbances, parameter uncertainties and possible actuator failures. Both the stability analysis and synthesis problems are considered. The purpose of the stability analysis problem is to derive easy-to-test conditions for the uncertain nonlinear time-delay systems to be stochastically, exponentially stable. The synthesis problem, on the other hand, aims to design state feedback controllers such that the closed-loop system is exponentially stable in the mean square for all admissible uncertainties, nonlinearities, time-delays and possible actuator failures. It is shown that the addressed problem can be solved in terms of the positive definite solutions to certain algebraic matrix inequalities. Numerical examples are provided to demonstrate the effectiveness of the proposed design method. © 2005 Taylor & Francis.

Keyword:

Actuators Closed loop control systems Delay circuits Feedback control Lyapunov methods Matrix algebra Nonlinear systems Parameter estimation Problem solving Stochastic control systems Uncertain systems

Community:

  • [ 1 ] [Wang, Zidong]School of Information Sciences and Technology, Donghua University, Shanghai 200051, China
  • [ 2 ] [Wang, Zidong]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom
  • [ 3 ] [Wang, Zidong]Department of Information Systems and Computing, Brunel University, United Kingdom
  • [ 4 ] [Wang, Zidong]Fuzhou University, Fuzhou, China
  • [ 5 ] [Wang, Zidong]IEEE
  • [ 6 ] [Shu, Huisheng]School of Sciences, Donghua University, Shanghai 200051, China
  • [ 7 ] [Shu, Huisheng]Donghua University
  • [ 8 ] [Liu, Xiaohui]Department of Information Systems and Computing, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom
  • [ 9 ] [Liu, Xiaohui]Department of Information Systems and Computing, Brunel University, Uxbridge, United Kingdom
  • [ 10 ] [Liu, Xiaohui]Department of Computing
  • [ 11 ] [Liu, Xiaohui]Intelligent Data Analysis Group

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Source :

International Journal of General Systems

ISSN: 0308-1079

Year: 2005

Issue: 5

Volume: 34

Page: 523-535

0 . 8 5 5

JCR@2005

2 . 4 0 0

JCR@2023

ESI Discipline: COMPUTER SCIENCE;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 15

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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