Title :
Stability and contractivity of conewise linear systems
Author_Institution :
SCUT-CUHK Joint Center for Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China
Abstract :
This work investigates stability of conewise linear systems. By introducing the concept of unit-sphere piecewise contractivity with respect to a given norm, we establish the equivalence between exponential stability and unit-sphere piecewise contractivity with respect to any norm. As an implication, we present a veri£able stability criterion based on state simulation and reduce-order unit ball coverage veri£cation. The approach applies to both continuous-time and discrete-time systems.
Keywords :
asymptotic stability; continuous time systems; discrete time systems; linear systems; piecewise linear techniques; reduced order systems; stability criteria; conewise linear systems; continuous-time system; discrete-time systems; exponential stability; reduce-order unit ball coverage verifcation; state simulation; unit-sphere piecewise contractivity; verifiable stability criterion; Asymptotic stability; Controllability; Linear systems; Stability criteria; Switches;
Conference_Titel :
Intelligent Control (ISIC), 2010 IEEE International Symposium on
Conference_Location :
Yokohama
Print_ISBN :
978-1-4244-5360-3
Electronic_ISBN :
2158-9860
DOI :
10.1109/ISIC.2010.5612926
