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 | |
| Publication status | Published - 2010 Feb |
| Externally published | Yes |
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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 journal › Article
}
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 -