Delay-dependent robust stabilization and H∞-control of uncertain stochastic systems with time-varying delay

Wu-Hua Chen; Zhi-Hong Guan Zhi-Hong; Xiaomei Lu Xiaomei

doi:10.1093/imamci/21.3.345

Delay-dependent robust stabilization and H∞-control of uncertain stochastic systems with time-varying delay

Wu-Hua Chen, Zhi-Hong Guan Zhi-Hong, Xiaomei Lu Xiaomei

Research output: Contribution to journal › Article › peer-review

Abstract

This paper considers the problems of robust stabilization and robust H∞-control for uncertain stochastic systems with time-delay. By using a descriptor model transformation of the system and applying a new bounding technique for cross terms, the above problems are solved. New state feedback solutions are derived in terms of delay-dependent linear matrix inequalities (LMIs). A numerical example is given which illustrates the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	345-358
Number of pages	14
Journal	IMA Journal of Mathematical Control and Information
Volume	21
Issue number	3
DOIs	https://doi.org/10.1093/imamci/21.3.345
Publication status	Published - 2004

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title = "Delay-dependent robust stabilization and H∞-control of uncertain stochastic systems with time-varying delay",

abstract = "This paper considers the problems of robust stabilization and robust H∞-control for uncertain stochastic systems with time-delay. By using a descriptor model transformation of the system and applying a new bounding technique for cross terms, the above problems are solved. New state feedback solutions are derived in terms of delay-dependent linear matrix inequalities (LMIs). A numerical example is given which illustrates the effectiveness of the proposed approach.",

author = "Wu-Hua Chen and {Guan Zhi-Hong}, Zhi-Hong and {Lu Xiaomei}, Xiaomei",

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AU - Chen, Wu-Hua

AU - Guan Zhi-Hong, Zhi-Hong

AU - Lu Xiaomei, Xiaomei

PY - 2004

Y1 - 2004

N2 - This paper considers the problems of robust stabilization and robust H∞-control for uncertain stochastic systems with time-delay. By using a descriptor model transformation of the system and applying a new bounding technique for cross terms, the above problems are solved. New state feedback solutions are derived in terms of delay-dependent linear matrix inequalities (LMIs). A numerical example is given which illustrates the effectiveness of the proposed approach.

AB - This paper considers the problems of robust stabilization and robust H∞-control for uncertain stochastic systems with time-delay. By using a descriptor model transformation of the system and applying a new bounding technique for cross terms, the above problems are solved. New state feedback solutions are derived in terms of delay-dependent linear matrix inequalities (LMIs). A numerical example is given which illustrates the effectiveness of the proposed approach.

UR - http://handle.uws.edu.au:8081/1959.7/540939

U2 - 10.1093/imamci/21.3.345

DO - 10.1093/imamci/21.3.345

M3 - Article

SN - 0265-0754

VL - 21

SP - 345

EP - 358

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 3

ER -

Delay-dependent robust stabilization and H∞-control of uncertain stochastic systems with time-varying delay

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