pth moment exponential stability of stochastic functional differential systems with Markovian switching and impulsive perturbations

Author

Cheng, Pei ; Peng, Yunjian ; Deng, Feiqi

Author_Institution

Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China

fYear

2010

fDate

9-11 June 2010

Firstpage

1752

Lastpage

1757

Abstract

In this paper, we investigate the pth moment exponential stability of stochastic functional differential systems with Markovian switching and impulsive perturbations. Based on the Lyapunov functions and Razumikhin techniques, some criteria are established and their applications to delay systems are proposed. An illustrative example shows the effectiveness of our results.

Keywords

Lyapunov methods; Markov processes; asymptotic stability; delay systems; differential equations; functional equations; stochastic systems; Lyapunov functions; Markovian switching; Razumikhin techniques; delay systems; impulsive perturbations; pth moment exponential stability; stochastic functional differential systems; Asymptotic stability; Automatic control; Automation; Control systems; Delay effects; Delay systems; Differential equations; Stability criteria; Stochastic processes; Stochastic systems; Markovian switching; Razumikhin-type theorems; Stochastic functional differential systems; impulsive perturbations; pth moment exponential stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation (ICCA), 2010 8th IEEE International Conference on

Conference_Location

Xiamen

ISSN

1948-3449

Print_ISBN

978-1-4244-5195-1

Electronic_ISBN

1948-3449

Type

conf

DOI

10.1109/ICCA.2010.5524106

Filename

5524106