Switching Stabilization for a Class of Slowly Switched Systems

In this technical note, the problem of switching stabilization for slowly switched linear systems is investigated. In particular, the considered systems can be composed of all unstable subsystems. Based on the invariant subspace theory, the switching signal with mode-dependent average dwell time (MD...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 2015-01, Vol.60 (1), p.221-226
Main Authors: Zhao, Xudong, Yin, Shen, Li, Hongyi, Niu, Ben
Format: Article
Language:English
Subjects:
Asymptotic stability
Automatic control
Dwell time
Educational institutions
Invariants
Linear systems
Stability analysis
Stabilization
Subspaces
Switched systems
Switches
Switching
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this technical note, the problem of switching stabilization for slowly switched linear systems is investigated. In particular, the considered systems can be composed of all unstable subsystems. Based on the invariant subspace theory, the switching signal with mode-dependent average dwell time (MDADT) property is designed to exponentially stabilize the underlying system. Furthermore, sufficient condition of stabilization for switched systems with all stable subsystems under MDADT switching is also given. The correctness and effectiveness of the proposed approaches are illustrated by a numerical example.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2014.2322961