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

Xuping Xu, Guisheng Zhai, Shouling He

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)113-121
Number of pages9
JournalNonlinear Analysis: Hybrid Systems
Volume4
Issue number1
DOIs
Publication statusPublished - 2010 Feb
Externally publishedYes

Fingerprint

Sampling

Keywords

  • Affine systems
  • Discrete-time systems
  • Hybrid systems
  • Stabilizability
  • Switched systems

ASJC Scopus subject areas

  • Computer Science Applications
  • Analysis
  • Control and Systems Engineering

Cite this

Some results on practical stabilizability of discrete-time switched affine systems. / Xu, Xuping; Zhai, Guisheng; He, Shouling.

In: Nonlinear Analysis: Hybrid Systems, Vol. 4, No. 1, 02.2010, p. 113-121.

Research output: Contribution to journalArticle

@article{6eaeee697bcb454cbd7e781b52ba1bb9,
title = "Some results on practical stabilizability of discrete-time switched affine systems",
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.",
keywords = "Affine systems, Discrete-time systems, Hybrid systems, Stabilizability, Switched systems",
author = "Xuping Xu and Guisheng Zhai and Shouling He",
year = "2010",
month = "2",
doi = "10.1016/j.nahs.2009.08.005",
language = "English",
volume = "4",
pages = "113--121",
journal = "Nonlinear Analysis: Hybrid Systems",
issn = "1751-570X",
publisher = "Elsevier BV",
number = "1",

}

TY - JOUR

T1 - Some results on practical stabilizability of discrete-time switched affine systems

AU - Xu, Xuping

AU - Zhai, Guisheng

AU - He, Shouling

PY - 2010/2

Y1 - 2010/2

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.

KW - Affine systems

KW - Discrete-time systems

KW - Hybrid systems

KW - Stabilizability

KW - Switched systems

UR - http://www.scopus.com/inward/record.url?scp=70350572456&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350572456&partnerID=8YFLogxK

U2 - 10.1016/j.nahs.2009.08.005

DO - 10.1016/j.nahs.2009.08.005

M3 - Article

AN - SCOPUS:70350572456

VL - 4

SP - 113

EP - 121

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

SN - 1751-570X

IS - 1

ER -