DocumentCode :
475999
Title :
Robust asymptotical stability for uncertain stochastic neural networks with discrete and distributed delays
Author :
Wang, Shu-yun ; Wang, Shao-ying ; Li, Guo-gang ; Gao, Zhi-feng
Author_Institution :
Dept. of Math., Coll. of Handan, Handan
Volume :
2
fYear :
2008
fDate :
12-15 July 2008
Firstpage :
815
Lastpage :
819
Abstract :
This paper investigates the problem of robust asymptotical stability for uncertain stochastic neural networks with discrete and distributed delays. Based on Lyapunov-Krasovskii functional and stochastic analysis method, new stability criteria is presented in terms of linear matrix inequalities to guarantee stochastic neural networks to be robustly asymptotically stable for all admissible parameter uncertainties, The criteria can be checked by utilizing the Matlab LMI toolbox. Two numerical examples are provided to demonstrate the feasibility of the proposed robust asymptotical stability criteria.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; stochastic systems; uncertain systems; Lyapunov-Krasovskii functional; Matlab LMI toolbox; admissible parameter uncertainties; discrete delays; distributed delays; linear matrix inequalities; robust asymptotic stability; stability criteria; stochastic analysis method; uncertain stochastic neural networks; Asymptotic stability; Delay effects; Educational institutions; Linear matrix inequalities; Machine learning; Neural networks; Robust stability; Stability criteria; Stochastic processes; Uncertain systems; Linear matrix inequalities; Norm-bounded uncertainties; Robust asymptotical stability; Stochastic neural networks; Time delays;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
Type :
conf
DOI :
10.1109/ICMLC.2008.4620516
Filename :
4620516
Link To Document :
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