Some results on practical stabilizability of discrete-time switched affine systems

Xuping Xu; Guisheng Zhai; Shouling He

doi:10.1016/j.nahs.2009.08.005

Some results on practical stabilizability of discrete-time switched affine systems

Xuping Xu, Guisheng Zhai, Shouling He

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

5 Citations (Scopus)

Abstract

In this paper, we continue our recent study on practical stabilizability of discrete-time (DT) switched systems. After briefly reviewing some practical stabilizability notions, we prove a sufficient condition for ε{lunate}-practical asymptotic stabilizability. Then we focus on a class of DT switched systems - namely, switched affine systems - and present an approach to estimating the minimum bound for practical stabilizability. On the basis of the approach, we also present several new sufficient conditions for global ε{lunate}-practical asymptotic stabilizability of such a class of systems. Since such a class of systems is often derived by sampling continuous-time (CT) switched systems, we finally present some preliminary results on the relationship between CT and DT switched affine systems.

Original language	English
Pages (from-to)	113-121
Number of pages	9
Journal	Nonlinear Analysis: Hybrid Systems
Volume	4
Issue number	1
DOIs	https://doi.org/10.1016/j.nahs.2009.08.005
Publication status	Published - 2010 Feb
Externally published	Yes

Keywords

Affine systems
Discrete-time systems
Hybrid systems
Stabilizability
Switched systems

ASJC Scopus subject areas

Control and Systems Engineering
Analysis
Computer Science Applications

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abstract = "In this paper, we continue our recent study on practical stabilizability of discrete-time (DT) switched systems. After briefly reviewing some practical stabilizability notions, we prove a sufficient condition for ε{lunate}-practical asymptotic stabilizability. Then we focus on a class of DT switched systems - namely, switched affine systems - and present an approach to estimating the minimum bound for practical stabilizability. On the basis of the approach, we also present several new sufficient conditions for global ε{lunate}-practical asymptotic stabilizability of such a class of systems. Since such a class of systems is often derived by sampling continuous-time (CT) switched systems, we finally present some preliminary results on the relationship between CT and DT switched affine systems.",

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AU - Xu, Xuping

AU - Zhai, Guisheng

AU - He, Shouling

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N2 - In this paper, we continue our recent study on practical stabilizability of discrete-time (DT) switched systems. After briefly reviewing some practical stabilizability notions, we prove a sufficient condition for ε{lunate}-practical asymptotic stabilizability. Then we focus on a class of DT switched systems - namely, switched affine systems - and present an approach to estimating the minimum bound for practical stabilizability. On the basis of the approach, we also present several new sufficient conditions for global ε{lunate}-practical asymptotic stabilizability of such a class of systems. Since such a class of systems is often derived by sampling continuous-time (CT) switched systems, we finally present some preliminary results on the relationship between CT and DT switched affine systems.

AB - In this paper, we continue our recent study on practical stabilizability of discrete-time (DT) switched systems. After briefly reviewing some practical stabilizability notions, we prove a sufficient condition for ε{lunate}-practical asymptotic stabilizability. Then we focus on a class of DT switched systems - namely, switched affine systems - and present an approach to estimating the minimum bound for practical stabilizability. On the basis of the approach, we also present several new sufficient conditions for global ε{lunate}-practical asymptotic stabilizability of such a class of systems. Since such a class of systems is often derived by sampling continuous-time (CT) switched systems, we finally present some preliminary results on the relationship between CT and DT switched affine systems.

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KW - Hybrid systems

KW - Stabilizability

KW - Switched systems

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