Title :
Optimal stable state-space partitioning for piecewise linear planar systems
Author :
Nishiyama, Satoshi ; Hayakawa, Tomohisa
Author_Institution :
Dept. of Mech. & Environ. Inf., Tokyo Inst. of Technol., Tokyo
Abstract :
A method of state-space partitioning that stabilizes piecewise linear systems is developed. Specifically, given available system matrices, partition of the two-dimensional state space is determined in a graphical manner. Finally, we show several illustrative examples to demonstrate efficacy of the proposed approach.
Keywords :
graph theory; piecewise linear techniques; stability; state-space methods; optimal stable state-space partitioning; piecewise linear planar systems; two-dimensional state space; Control systems; Convergence; Eigenvalues and eigenfunctions; Informatics; Optimal control; Piecewise linear techniques; Space technology; State-space methods; Transmission line matrix methods; Vectors;
Conference_Titel :
American Control Conference, 2008
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-2078-0
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2008.4587111
