DocumentCode
2479195
Title
Stability analysis for 2-dimensional switched linear systems
Author
Nishiyama, Satoshi ; Hayakawa, Tomohisa
Author_Institution
Dept. of Mech. & Environ. Inf., Tokyo Inst. of Technol., Tokyo, Japan
fYear
2009
fDate
10-12 June 2009
Firstpage
1772
Lastpage
1777
Abstract
A method of determining stability of 2-dimensional switched linear systems is developed. Specifically, given available system matrices and switching rules, we show that the mode sequence eventually become periodic. To determine stability, we show that it suffices to examine the behavior of the system after the mode sequence has become periodic. Finally, we show a couple of illustrative examples to demonstrate efficacy of the proposed approach.
Keywords
asymptotic stability; control system analysis; graph theory; linear systems; matrix algebra; multidimensional systems; piecewise linear techniques; time-varying systems; 2-dimensional switched linear system; global exponential stability; graph Laplacian matrix; mode transition; piecewise linear planar system; stability analysis; system matrices; Control systems; Informatics; Laplace equations; Linear systems; Nonlinear systems; Piecewise linear techniques; Stability analysis; Switched systems; Switches; Transmission line matrix methods;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2009. ACC '09.
Conference_Location
St. Louis, MO
ISSN
0743-1619
Print_ISBN
978-1-4244-4523-3
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2009.5160744
Filename
5160744
Link To Document