Exponential stability analysis of Markovian jump nonlinear systems with mixed time delays and partially known transition probabilities

Author

Karimi, Hamid Reza ; Bo Wang ; Peng Shi

Author_Institution

Dept. of Eng., Univ. of Agder, Grimstad, Norway

fYear

2013

fDate

Oct. 30 2013-Nov. 1 2013

Firstpage

1

Lastpage

6

Abstract

In this paper, the problem of exponential stability is studied for a class of Markovian jump neutral nonlinear systems with mixed neutral and discrete time delays. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situation that the system´s transition rates are partially or completely accessible. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed methods.

Keywords

Lyapunov methods; Markov processes; asymptotic stability; delays; discrete time systems; functional equations; mean square error methods; nonlinear control systems; probability; stability criteria; Lyapunov-Krasovskii function approach; Markovian jump neutral nonlinear systems; completely-accessible system transition rate; exponential stability analysis; mean-square exponential stability criterion; mixed discrete time delay; mixed neutral time delay; partially-accessible system transition rate; partially-known transition probabilities; Control theory; Delays; Educational institutions; Markov processes; Stability criteria; Symmetric matrices; Markovian jump systems; stability analysis; time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Information, Communication and Automation Technologies (ICAT), 2013 XXIV International Symposium on

Conference_Location

Sarajevo

Type

conf

DOI

10.1109/ICAT.2013.6684056

Filename

6684056