Paper Info
Title
Periodic stabilization of discrete-time switched linear systems.
Abstract
The goal of this paper is to study the exponential stabilization problem for autonomous discrete-time switched linear systems (SLSs), where only the discrete mode can be controlled. Our approach is based on periodic control Lyapunov functions whose value decreases periodically instead of at each time step as in the classical control Lyapunov functions. Using periodic control Lyapunov functions, we develop stabilizability analysis and controller synthesis conditions that are less conservative than existing results in that they apply to a larger class of SLSs. Utilizing recent results on the switched optimal control problems, a constructive way to find periodic control Lyapunov functions is presented.
Year
DOI
Venue
2017
10.1109/TAC.2017.2651173
IEEE Trans. Automat. Contr.
Keywords
DocType
Volume
Switches,Lyapunov methods,Symmetric matrices,Linear systems,Algorithm design and analysis,Stability analysis
Journal
62
Issue
ISSN
Citations 
7
0018-9286
4
PageRank 
References 
Authors
0.42
27
2
Name
Order
Citations
PageRank
Donghwan Lee1259.30
Jianghai Hu252064.76