Analysis of finite-time practical stability for time-varying polytopic systems

Zhen Zhong; Guangren Duan

Analysis of finite-time practical stability for time-varying polytopic systems

Zhen Zhong^*
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology

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

2 Scopus citations

Abstract

The problem of finite-time practical stability (FTPS) for time-varying polytopic systems is discussed. Three equivalent conditions for FTPS are first proposed. To facilitate the system analysis, a sufficient linear matrix inequality (LMI) criterion on the FTPS is further provided. The definition of finite-time practical boundedness and a sufficient LMI criterion are also provided to overcome the exogenous disturbance. A numerical example is used to illustrate the effect of the proposed approach.

Original language	English
Pages (from-to)	112-119
Number of pages	8
Journal	Journal of Systems Engineering and Electronics
Volume	20
Issue number	1
State	Published - Feb 2009

Keywords

Finite-time control
Linear matrix inequality
Polytopic systems
Practical stability

Cite this

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title = "Analysis of finite-time practical stability for time-varying polytopic systems",

abstract = "The problem of finite-time practical stability (FTPS) for time-varying polytopic systems is discussed. Three equivalent conditions for FTPS are first proposed. To facilitate the system analysis, a sufficient linear matrix inequality (LMI) criterion on the FTPS is further provided. The definition of finite-time practical boundedness and a sufficient LMI criterion are also provided to overcome the exogenous disturbance. A numerical example is used to illustrate the effect of the proposed approach.",

keywords = "Finite-time control, Linear matrix inequality, Polytopic systems, Practical stability",

author = "Zhen Zhong and Guangren Duan",

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AU - Zhong, Zhen

AU - Duan, Guangren

PY - 2009/2

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N2 - The problem of finite-time practical stability (FTPS) for time-varying polytopic systems is discussed. Three equivalent conditions for FTPS are first proposed. To facilitate the system analysis, a sufficient linear matrix inequality (LMI) criterion on the FTPS is further provided. The definition of finite-time practical boundedness and a sufficient LMI criterion are also provided to overcome the exogenous disturbance. A numerical example is used to illustrate the effect of the proposed approach.

AB - The problem of finite-time practical stability (FTPS) for time-varying polytopic systems is discussed. Three equivalent conditions for FTPS are first proposed. To facilitate the system analysis, a sufficient linear matrix inequality (LMI) criterion on the FTPS is further provided. The definition of finite-time practical boundedness and a sufficient LMI criterion are also provided to overcome the exogenous disturbance. A numerical example is used to illustrate the effect of the proposed approach.

KW - Finite-time control

KW - Linear matrix inequality

KW - Polytopic systems

KW - Practical stability

UR - https://www.scopus.com/pages/publications/77957608024

M3 - 文章

AN - SCOPUS:77957608024

SN - 1671-1793

VL - 20

SP - 112

EP - 119

JO - Journal of Systems Engineering and Electronics

JF - Journal of Systems Engineering and Electronics

IS - 1

ER -

Analysis of finite-time practical stability for time-varying polytopic systems

Abstract

Keywords

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