On hybrid impulsive and switching systems and application to nonlinear control

Zhi Hong Guan; David J. Hill; Xuemin Shen

doi:10.1109/TAC.2005.851462

On hybrid impulsive and switching systems and application to nonlinear control

Zhi Hong Guan^*, David J. Hill, Xuemin Shen

^*Corresponding author for this work

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

406 Citations (Scopus)

Abstract

In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.

Original language	English
Pages (from-to)	1058-1062
Number of pages	5
Journal	IEEE Transactions on Automatic Control
Volume	50
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2005.851462
Publication status	Published - Jul 2005

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10.1109/TAC.2005.851462

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abstract = "In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.",

keywords = "Chaos control, Exponential stability, Hybrid systems, Impulsive and switching systems, Switched Lyapunov function",

author = "Guan, {Zhi Hong} and Hill, {David J.} and Xuemin Shen",

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AU - Hill, David J.

AU - Shen, Xuemin

PY - 2005/7

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N2 - In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.

AB - In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.

KW - Chaos control

KW - Exponential stability

KW - Hybrid systems

KW - Impulsive and switching systems

KW - Switched Lyapunov function

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DO - 10.1109/TAC.2005.851462

M3 - Article

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VL - 50

SP - 1058

EP - 1062

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 7

ER -

On hybrid impulsive and switching systems and application to nonlinear control

Abstract

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