Title :
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
fDate :
Oct. 30 2013-Nov. 1 2013
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;
Conference_Titel :
Information, Communication and Automation Technologies (ICAT), 2013 XXIV International Symposium on
Conference_Location :
Sarajevo
DOI :
10.1109/ICAT.2013.6684056
