Title :
A graph approach for stability of piecewise linear systems
Author_Institution :
Center for Control & Optimization, South China Univ. of Technol., Guangzhou, China
Abstract :
In this work, we propose a graph approach for stability of piecewise linear systems. A stability criterion is presented based on the attractivity of an invariant region. The approach is applied to analyzing the consensus of opinion dynamics with a uniform confidence level, which leads to an easily verifiable sufficient condition for consensus.
Keywords :
graph theory; linear algebra; numerical stability; stability criteria; consensus sufficient condition; graph approach; invariant region; piecewise linear systems; stability criterion; uniform confidence level; Automatic control; Control systems; Educational institutions; Linear systems; Nonlinear dynamical systems; Piecewise linear approximation; Piecewise linear techniques; Robust stability; Stability analysis; Sun; Graph; Piecewise Linear Systems; Stability;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5191577
