Title :
Robust Stability Analysis of Uncertain Stochastic Neural Networks with Time-Varying Delays
Author :
Feng, Wei ; Zhang, Wei ; Wu, Haixia
Author_Institution :
Coll. of Autom., Chongqing Univ., Chongqing
Abstract :
This paper is concerned with stochastic robust stability of a class of stochastic neural networks with time varying delays and parameter uncertainties. The parameter uncertainties are time-varying and norm-bounded. Based on Lyapunov-Krasovskii functional and stochastic analysis approaches, new stability criteria are presented in terms of linear matrix inequalities (LMIs) to guarantee the delayed neural network to be robustly stochastically asymptotically stable in the mean square for all admissible uncertainties. Numerical examples are given to demonstrate the usefulness of the proposed robust stability criteria.
Keywords :
Lyapunov methods; delays; linear matrix inequalities; neural nets; stability criteria; stochastic systems; time-varying systems; uncertain systems; Lyapunov-Krasovskii functional; linear matrix inequalities; parameter uncertainties; robust stability analysis; stability criteria; stochastic analysis; time-varying delays; uncertain stochastic neural networks; Computer networks; Computer science education; Educational institutions; Neural networks; Neurons; Robust stability; Stability analysis; Stability criteria; Stochastic processes; Uncertain systems; Stability; Time-variable Delays; Uncertain Stochastic Neural Networks; linear matrix inequality (LMI);
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.568