Title :
Local stability analysis of piecewise affine systems
Author :
Nakada, Hayato ; Takaba, Kiyotsugu
Author_Institution :
Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
Abstract :
This paper is concerned with the local stability of a piece-wise affine system. In terms of piecewise quadratic Lyapunov functions, we derive a new matrix inequality condition that explicitly characterizes an inner approximation of the domain of attraction for the piecewise affine system. We also show the effectiveness of the present method by two numerical examples.
Keywords :
Approximation methods; Indexes; Level set; Lyapunov methods; Numerical stability; Stability criteria; domain of attraction; local stability; matrix inequality; piece-wise quadratic Lyapunov function; piecewise affine system;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
