Title :
Exponential stability of nonlinear ito differential systems with time-delay and Markovian switching
Author :
Hongliang, Liu ; Guangren, Duan
Author_Institution :
Center for Centre for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin
Abstract :
The exponential stability of nonlinear Ito differential systems with time-delay and Markovian switching is studied. According to the theory of stability of stochastic systems and Ito differential formula, by choosing proper stochastic Lyapunov function, applying generalized Ito formula, some sufficient conditions of exponential stability of such system was obtained, which improved existed results, with less conversations.
Keywords :
Lyapunov methods; Markov processes; asymptotic stability; delays; nonlinear control systems; nonlinear differential equations; stochastic systems; Markovian switching; exponential stability; nonlinear Ito differential system; stochastic Lyapunov function; stochastic system; time-delay; Control systems; Control theory; Indium tin oxide; Lyapunov method; Nonlinear control systems; Stability; Stochastic systems; Sufficient conditions; Exponential stability in mean square; Markovian switching; Nonlinear Ito differential systems; Time-delay;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605652
