Delay-dependent stabilization for stochastic time-varying delay system with nonlinear disturbances

Meng Xia; Guangren Duan; Mingzhe Hou

Delay-dependent stabilization for stochastic time-varying delay system with nonlinear disturbances

Meng Xia^*
, Guangren Duan
, Mingzhe Hou

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper studies the problem of control synthesis for a class of stochastic time-delay system with nonlinear disturbances. The time delay that appears in both the states and nonlinear disturbances is considered to be time-varying and has lower and upper bounds. The purpose of the addressed stochastic stabilization problem with nonlinear disturbances is to obtain the stability conditions for the open-loop system and design the memoryless state feedback controller for the closed-loop system. The stability criteria is derived using Itô's differential formula and the Lyapunov stability theory.

Original language	English
Title of host publication	Proceedings of the 29th Chinese Control Conference, CCC'10
Pages	5987-5992
Number of pages	6
State	Published - 2010
Event	29th Chinese Control Conference, CCC'10 - Beijing, China Duration: 29 Jul 2010 → 31 Jul 2010

Publication series

Name	Proceedings of the 29th Chinese Control Conference, CCC'10

Conference

Conference	29th Chinese Control Conference, CCC'10
Country/Territory	China
City	Beijing
Period	29/07/10 → 31/07/10

Keywords

Delay-range-dependent approach
Linear matrix inequality
Nonlinear disturbances
Stochastic system

Cite this

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title = "Delay-dependent stabilization for stochastic time-varying delay system with nonlinear disturbances",

abstract = "This paper studies the problem of control synthesis for a class of stochastic time-delay system with nonlinear disturbances. The time delay that appears in both the states and nonlinear disturbances is considered to be time-varying and has lower and upper bounds. The purpose of the addressed stochastic stabilization problem with nonlinear disturbances is to obtain the stability conditions for the open-loop system and design the memoryless state feedback controller for the closed-loop system. The stability criteria is derived using It{\^o}'s differential formula and the Lyapunov stability theory.",

keywords = "Delay-range-dependent approach, Linear matrix inequality, Nonlinear disturbances, Stochastic system",

author = "Meng Xia and Guangren Duan and Mingzhe Hou",

year = "2010",

language = "英语",

isbn = "9787894631046",

series = "Proceedings of the 29th Chinese Control Conference, CCC'10",

pages = "5987--5992",

booktitle = "Proceedings of the 29th Chinese Control Conference, CCC'10",

note = "29th Chinese Control Conference, CCC'10 ; Conference date: 29-07-2010 Through 31-07-2010",

}

Delay-dependent stabilization for stochastic time-varying delay system with nonlinear disturbances. / Xia, Meng; Duan, Guangren ; Hou, Mingzhe.
Proceedings of the 29th Chinese Control Conference, CCC'10. 2010. p. 5987-5992 5572897 (Proceedings of the 29th Chinese Control Conference, CCC'10).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Delay-dependent stabilization for stochastic time-varying delay system with nonlinear disturbances

AU - Xia, Meng

AU - Duan, Guangren

AU - Hou, Mingzhe

PY - 2010

Y1 - 2010

N2 - This paper studies the problem of control synthesis for a class of stochastic time-delay system with nonlinear disturbances. The time delay that appears in both the states and nonlinear disturbances is considered to be time-varying and has lower and upper bounds. The purpose of the addressed stochastic stabilization problem with nonlinear disturbances is to obtain the stability conditions for the open-loop system and design the memoryless state feedback controller for the closed-loop system. The stability criteria is derived using Itô's differential formula and the Lyapunov stability theory.

AB - This paper studies the problem of control synthesis for a class of stochastic time-delay system with nonlinear disturbances. The time delay that appears in both the states and nonlinear disturbances is considered to be time-varying and has lower and upper bounds. The purpose of the addressed stochastic stabilization problem with nonlinear disturbances is to obtain the stability conditions for the open-loop system and design the memoryless state feedback controller for the closed-loop system. The stability criteria is derived using Itô's differential formula and the Lyapunov stability theory.

KW - Delay-range-dependent approach

KW - Linear matrix inequality

KW - Nonlinear disturbances

KW - Stochastic system

UR - https://www.scopus.com/pages/publications/78650247177

M3 - 会议稿件

AN - SCOPUS:78650247177

SN - 9787894631046

T3 - Proceedings of the 29th Chinese Control Conference, CCC'10

SP - 5987

EP - 5992

BT - Proceedings of the 29th Chinese Control Conference, CCC'10

T2 - 29th Chinese Control Conference, CCC'10

Y2 - 29 July 2010 through 31 July 2010

ER -

Delay-dependent stabilization for stochastic time-varying delay system with nonlinear disturbances

Abstract

Publication series

Conference

Keywords

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