Title :
Stability analysis of planar continuous piecewise linear systems
Author :
Jun Xu ; Xiaolin Huang ; Shuning Wang
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
fDate :
June 30 2010-July 2 2010
Abstract :
In this paper, planar continuous piecewise linear (PCPWL) systems composed of more than two linear subsystems are investigated. Instead of using Lyapunov method, we study the behavior of the PCPWL system directly to give the stability analysis. When there exist eigenvectors for the PCPWL system, the subsystem stability ensures the global stability. If there are no eigenvectors, the one-circle-gain determines the global stability. Besides, we claim that PCPWL system with three stable subsystems is always globally stable if each subsystem has distinct real eigenvalues. Simulation results illustrate the proposed stability tests.
Keywords :
continuous systems; eigenvalues and eigenfunctions; piecewise linear techniques; stability; Lyapunov method; eigenvalues; eigenvectors; global stability; one-circle-gain; planar continuous piecewise linear systems; stability analysis; Automation; Bismuth; Control systems; Eigenvalues and eigenfunctions; Linear systems; Lyapunov method; Piecewise linear techniques; Stability analysis; Systems engineering and theory; Testing;
Conference_Titel :
American Control Conference (ACC), 2010
Conference_Location :
Baltimore, MD
Print_ISBN :
978-1-4244-7426-4
DOI :
10.1109/ACC.2010.5530702
