Title :
Stability of the time varying singular distributed parameter systems in Hilbert spaces
Author_Institution :
Department of Applied Mathematics, Xi´an Jiaotong University, Xi´an 710049
Abstract :
Exponential and asymptotic stabilities of the time varying singular distributed parameter systems are discussed via functional analysis, the theory of GE0-semigroup and GE0-mild evolution operator in Hilbert space. The necessary and sufficient conditions for exponential and asymptotic stabilities are obtained. This research is theoretically important for studying the stability of the time varying singular distributed parameter systems.
Keywords :
Asymptotic stability; Circuit stability; Distributed parameter systems; Hilbert space; Stability analysis; Thermal stability; Time-varying systems; GE0-mild evolution operator; GE0-semigroup; Hilbert spaces; Stability; time varying singular distributed parameter system;
Conference_Titel :
Control Conference (CCC), 2015 34th Chinese
Conference_Location :
Hangzhou, China
DOI :
10.1109/ChiCC.2015.7259856
