New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay

Lihua Zhang; Wenhai Qi; Yonggui Kao; Xianwen Gao; Longjiang Zhao

doi:10.1007/s12555-017-0020-7

New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay

Lihua Zhang
, Wenhai Qi^*
, Yonggui Kao
, Xianwen Gao
, Longjiang Zhao

^*Corresponding author for this work

Qufu Normal University
School of Science, Harbin Institute of Technology Weihai
Northeastern University China

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

19 Scopus citations

Abstract

The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results.

Original language	English
Pages (from-to)	649-658
Number of pages	10
Journal	International Journal of Control, Automation and Systems
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/s12555-017-0020-7
State	Published - 1 Apr 2018
Externally published	Yes

Keywords

Finite-time stabilization
linear matrix inequality
stochastic systems
time-varying delay

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10.1007/s12555-017-0020-7

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title = "New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay",

abstract = "The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results.",

keywords = "Finite-time stabilization, linear matrix inequality, stochastic systems, time-varying delay",

author = "Lihua Zhang and Wenhai Qi and Yonggui Kao and Xianwen Gao and Longjiang Zhao",

note = "Publisher Copyright: {\textcopyright} 2018, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.",

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T1 - New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay

AU - Zhang, Lihua

AU - Qi, Wenhai

AU - Kao, Yonggui

AU - Gao, Xianwen

AU - Zhao, Longjiang

PY - 2018/4/1

Y1 - 2018/4/1

N2 - The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results.

AB - The paper deals with the problem of finite-time stabilization for stochastic systems with time-varying delay by defining a new criterion for finite-time stability. Firstly, by use of more appropriate Lyapunov-Krasovskii functional (LKF), the difficulties of finite-time stability confronted in system analysis and synthesis can be overcome. Then, a state feedback controller is constructed to guarantee the closed-loop system finite-time stable. New conditions for finite-time stability analysis as well as controller synthesis are established in terms of linear matrix inequality (LMI). Finally, two practical examples demonstrate the validity of the main results.

KW - Finite-time stabilization

KW - linear matrix inequality

KW - stochastic systems

KW - time-varying delay

UR - https://www.scopus.com/pages/publications/85041169829

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M3 - 文章

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VL - 16

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JO - International Journal of Control, Automation and Systems

JF - International Journal of Control, Automation and Systems

IS - 2

ER -

New Results on Finite-time Stabilization for Stochastic Systems with Time-varying Delay

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Keywords

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