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

fYear

2008

fDate

16-18 July 2008

Firstpage

798

Lastpage

800

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CHICC.2008.4605652

Filename

4605652