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

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 1

Keywords

Affine systems
Discrete-time systems
Hybrid systems
Stabilizability
Switched systems

ASJC Scopus subject areas

Control and Systems Engineering
Analysis
Computer Science Applications

Access to Document

10.1016/j.nahs.2009.08.005

Fingerprint Dive into the research topics of 'Some results on practical stabilizability of discrete-time switched affine systems'. Together they form a unique fingerprint.

Cite this

Xu, X., Zhai, G., & He, S. (2010). Some results on practical stabilizability of discrete-time switched affine systems. Nonlinear Analysis: Hybrid Systems, 4(1), 113-121. https://doi.org/10.1016/j.nahs.2009.08.005

@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 = feb,

day = "1",

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 - 2010/2/1

Y1 - 2010/2/1

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 -