Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems. * * This project was supported by the National Natural Science Foundation of China (69874008).

Zhang Lixian; Wang Changhong; Gao Huijun

doi:10.1016/S1004-4132(07)60093-0

Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems. ^* * This project was supported by the National Natural Science Foundation of China (69874008).

Zhang Lixian^*
, Wang Changhong
, Gao Huijun

^*Corresponding author for this work

School of Astronautics

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

21 Scopus citations

Abstract

The stability and stabilization of a class of linear switched time-varying delay systems are investigated. A piecewise quadratic Lyapunov function (PWQLF) is constructed and is used to obtain the stability conditions based on the linear matrix inequalities (LMIs).The stabilizing controller for this class of system is then designed and the solution of the desired controller can be obtained by a cone complementary linearization algorithm. Numerical examples are provided to illustrate the less conservativeness of the new stability and the validity of the controller design procedures.

Original language	English
Pages (from-to)	320-326
Number of pages	7
Journal	Journal of Systems Engineering and Electronics
Volume	18
Issue number	2
DOIs	https://doi.org/10.1016/S1004-4132(07)60093-0
State	Published - 2007

Keywords

Delay-dependent stability
LMIs
Linear switched systems
Stabilization
Time-varying delay

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10.1016/S1004-4132(07)60093-0

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title = "Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems. * * This project was supported by the National Natural Science Foundation of China (69874008).",

abstract = "The stability and stabilization of a class of linear switched time-varying delay systems are investigated. A piecewise quadratic Lyapunov function (PWQLF) is constructed and is used to obtain the stability conditions based on the linear matrix inequalities (LMIs).The stabilizing controller for this class of system is then designed and the solution of the desired controller can be obtained by a cone complementary linearization algorithm. Numerical examples are provided to illustrate the less conservativeness of the new stability and the validity of the controller design procedures.",

keywords = "Delay-dependent stability, LMIs, Linear switched systems, Stabilization, Time-varying delay",

author = "Zhang Lixian and Wang Changhong and Gao Huijun",

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Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems. ^* * This project was supported by the National Natural Science Foundation of China (69874008). / Lixian, Zhang ; Changhong, Wang ; Huijun, Gao.
In: Journal of Systems Engineering and Electronics, Vol. 18, No. 2, 2007, p. 320-326.

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

TY - JOUR

T1 - Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems. * * This project was supported by the National Natural Science Foundation of China (69874008).

AU - Lixian, Zhang

AU - Changhong, Wang

AU - Huijun, Gao

PY - 2007

Y1 - 2007

N2 - The stability and stabilization of a class of linear switched time-varying delay systems are investigated. A piecewise quadratic Lyapunov function (PWQLF) is constructed and is used to obtain the stability conditions based on the linear matrix inequalities (LMIs).The stabilizing controller for this class of system is then designed and the solution of the desired controller can be obtained by a cone complementary linearization algorithm. Numerical examples are provided to illustrate the less conservativeness of the new stability and the validity of the controller design procedures.

AB - The stability and stabilization of a class of linear switched time-varying delay systems are investigated. A piecewise quadratic Lyapunov function (PWQLF) is constructed and is used to obtain the stability conditions based on the linear matrix inequalities (LMIs).The stabilizing controller for this class of system is then designed and the solution of the desired controller can be obtained by a cone complementary linearization algorithm. Numerical examples are provided to illustrate the less conservativeness of the new stability and the validity of the controller design procedures.

KW - Delay-dependent stability

KW - LMIs

KW - Linear switched systems

KW - Stabilization

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/34447107114

U2 - 10.1016/S1004-4132(07)60093-0

DO - 10.1016/S1004-4132(07)60093-0

M3 - 文章

AN - SCOPUS:34447107114

SN - 1671-1793

VL - 18

SP - 320

EP - 326

JO - Journal of Systems Engineering and Electronics

JF - Journal of Systems Engineering and Electronics

IS - 2

ER -

Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems. ^* * This project was supported by the National Natural Science Foundation of China (69874008).

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