Title :
Finite-time stability and stabilization of Itô stochastic time-varying systems
Author :
Yan Zhiguo ; Zhang Weihai ; Lin Zhongwei
Author_Institution :
Sch. of Electr. Eng. & Autom., Qilu Univ. of Technol., Jinan, China
Abstract :
This paper deals with the finite-time stability and stabilization for continuous-time linear stochastic time-varying systems. Several necessary and sufficient conditions and a sufficient condition for finite-time stability are derived. Moreover, a sufficient condition for the existence of state feedback controller is given. Such results involve the feasibility problems of differential linear matrix inequalities with terminal constraint.
Keywords :
continuous time systems; linear systems; stability; state feedback; stochastic systems; Itô stochastic time-varying system stabilization; continuous-time linear stochastic time-varying systems; differential linear matrix inequalities; finite-time stability; necessary conditions; state feedback controller; sufficient conditions; terminal constraint; Asymptotic stability; Educational institutions; Linear matrix inequalities; Power system stability; Stability analysis; Stochastic processes; Time-varying systems; Stochastic systems; finite-time stability; time-varying systems;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895867