Title :
Exponential stability of discontinuous dynamical systems determined by differential equations in Banach space
Author :
Michel, Anthony N. ; Sun, Ye
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
We present an exponential stability result for a class of discontinuous dynamical systems (DDS) determined by differential equations in Banach space (resp., Cauchy problems on abstract spaces). We demonstrate the applicability of our result in the analysis of several important classes of DDS, including systems determined by functional differential equations and partial differential equations.
Keywords :
Banach spaces; asymptotic stability; functional equations; partial differential equations; sampled data systems; Banach space; Cauchy problem; abstract space; discontinuous dynamical system; exponential stability; functional differential equation; partial differential equation; Difference equations; Differential equations; Discrete event systems; Extraterrestrial measurements; Integrodifferential equations; Motion analysis; Partial differential equations; Stability analysis; State-space methods; Sun;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470623
