Title :
Robust stability of Markovian jumping stochastic neural networks with interval time-varying delay
Author :
Fu, Jie ; Feng, Jian ; Zhang, Huaguang
Author_Institution :
Sch. of Inf. Sci. & Eng., Northeastern Univ. Shenyang, Shenyang
Abstract :
This paper studies the robust stability problem for a class of Markovian jumping stochastic neural networks (MJSNNs) with interval time-varying delay. Based on Lyapunov-Krasovskii functional and stochastic analysis approach, a new delay-dependent sufficient condition is obtained in the linear matrix inequalities (LMIs) format such that for all admissible uncertainties delayed MJSNNs is globally asymptotically stable in the mean-square sense. The effectiveness of the proposed method is demonstrated by a numerical example.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; neural nets; stability; stochastic processes; time-varying systems; Lyapunov-Krasovskii functional; Markovian jumping stochastic neural networks; interval time-varying delay; linear matrix inequalities; robust stability; stochastic analysis; Delay effects; Filtration; Linear matrix inequalities; Neural networks; Neurons; Robust stability; Stability criteria; Stochastic processes; Switches; Uncertain systems; Interval time-varying delay; Linear matrix inequality; Markovian jumping stochastic neural networks;
Conference_Titel :
Systems, Man and Cybernetics, 2008. SMC 2008. IEEE International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-2383-5
Electronic_ISBN :
1062-922X
DOI :
10.1109/ICSMC.2008.4811862