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
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;
Conference_Titel :
American Control Conference, 2009. ACC '09.
Conference_Location :
St. Louis, MO
Print_ISBN :
978-1-4244-4523-3
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2009.5160744
