Robust stability of multiple delay systems with nonlinear parameter perturbations and its robust stabilization by variable structure control

Xinping Guan; Zhiyun Lin; Guangren Duan

Robust stability of multiple delay systems with nonlinear parameter perturbations and its robust stabilization by variable structure control

Xinping Guan^*
, Zhiyun Lin
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Yanshan University
Zhejiang University

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

Abstract

This paper deals with a class of multiple delay systems with nonlinear parameter perturbations. The nonlinear parameter perturbations are unknown but norm-bounded. By using the Lyapunov functional approach, a sufficient condition for the system to be robustly stable is obtained. What's more, the application of the concept of variable structure control to the robust stabilization problem of the uncertain time-delay systems is successful.

Original language	English
Journal	Kongzhi Lilun Yu Yingyong/Control Theory and Applications
Volume	17
Issue number	4
State	Published - 2000

Keywords

Nonlinear parameter perturbation
Robust stability
Robust stabilization
Variable structure control

Cite this

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title = "Robust stability of multiple delay systems with nonlinear parameter perturbations and its robust stabilization by variable structure control",

abstract = "This paper deals with a class of multiple delay systems with nonlinear parameter perturbations. The nonlinear parameter perturbations are unknown but norm-bounded. By using the Lyapunov functional approach, a sufficient condition for the system to be robustly stable is obtained. What's more, the application of the concept of variable structure control to the robust stabilization problem of the uncertain time-delay systems is successful.",

keywords = "Nonlinear parameter perturbation, Robust stability, Robust stabilization, Variable structure control",

author = "Xinping Guan and Zhiyun Lin and Guangren Duan",

year = "2000",

language = "英语",

volume = "17",

journal = "Kongzhi Lilun Yu Yingyong/Control Theory and Applications",

issn = "1000-8152",

publisher = "South China University of Technology",

number = "4",

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TY - JOUR

T1 - Robust stability of multiple delay systems with nonlinear parameter perturbations and its robust stabilization by variable structure control

AU - Guan, Xinping

AU - Lin, Zhiyun

AU - Duan, Guangren

PY - 2000

Y1 - 2000

N2 - This paper deals with a class of multiple delay systems with nonlinear parameter perturbations. The nonlinear parameter perturbations are unknown but norm-bounded. By using the Lyapunov functional approach, a sufficient condition for the system to be robustly stable is obtained. What's more, the application of the concept of variable structure control to the robust stabilization problem of the uncertain time-delay systems is successful.

AB - This paper deals with a class of multiple delay systems with nonlinear parameter perturbations. The nonlinear parameter perturbations are unknown but norm-bounded. By using the Lyapunov functional approach, a sufficient condition for the system to be robustly stable is obtained. What's more, the application of the concept of variable structure control to the robust stabilization problem of the uncertain time-delay systems is successful.

KW - Nonlinear parameter perturbation

KW - Robust stability

KW - Robust stabilization

KW - Variable structure control

UR - https://www.scopus.com/pages/publications/76549097406

M3 - 文章

AN - SCOPUS:76549097406

SN - 1000-8152

VL - 17

JO - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

JF - Kongzhi Lilun Yu Yingyong/Control Theory and Applications

IS - 4

ER -

Robust stability of multiple delay systems with nonlinear parameter perturbations and its robust stabilization by variable structure control

Abstract

Keywords

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