Exponential stability of delayed reaction-diffusion neural networks with Markovian jumping parameters based on state estimation

Author

Yan, Liu ; Duoqing, Sun ; Huiquan, Ma

Author_Institution

Inst. of Math. & Syst. Sci., Hebei Normal Univ. of Sci. & Technol., Qinhuangdao, China

fYear

2012

fDate

25-27 July 2012

Firstpage

3267

Lastpage

3272

Abstract

This paper deals with the exponential stability problem for a class of delayed reaction-diffusion neural networks with Markovian jumping parameters. Based on the state estimation of jump parameters, a suitable stochastic Lyapunov-Krasovskii functional is employed to develop a sufficient condition for the exponential stability in terms of linear matrix inequalities (LMIs). A numerical example is provided to show the effectiveness of the proposed approach.

Keywords

Lyapunov methods; Markov processes; asymptotic stability; delays; linear matrix inequalities; neural nets; parameter estimation; LMI; Lyapunov-Krasovskii functional; Markovian jumping parameters; delayed reaction-diffusion neural networks; exponential stability; jump parameter estimation; linear matrix inequalities; state estimation; Control theory; Delay; Markov processes; Neural networks; Stability; State estimation; Markovian Jumping Parameter; Neural Networks; Reaction-Diffusion; Stochastic Exponential Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390485