DocumentCode
2562117
Title
Robust stability criteria for uncertain stochastic neural networks with two time-varying delay components
Author
Feng, Wei ; Zhang, Wei ; Wu, Haizxia ; Li, Jianfu
fYear
2008
fDate
2-4 July 2008
Firstpage
2531
Lastpage
2536
Abstract
This paper is concerned the robust stability analysis problem for uncertain stochastic neural networks with two time-varying delay components. By utilizing a Lyapunov-Krasovskii functional and conducting stochastic analysis, we show that the addressed neural networks are globally, robustly, asymptotically stable if a convex optimization problem is feasible. Some stability criteria are derived such that for all admissible uncertainties. And these stability criteria are formulated by means of the feasibility of a linear matrix inequality (LMI), which can be effectively solved by some standard numerical packages. Numerical examples are given to demonstrate the usefulness of the proposed robust stability criteria.
Keywords
Lyapunov methods; asymptotic stability; delay systems; linear matrix inequalities; neurocontrollers; optimisation; stability criteria; stochastic systems; time-varying systems; uncertain systems; Lyapunov-Krasovskii functional; asymptotic stability; convex optimization problem; linear matrix inequality; robust stability criteria; time-varying delay components; uncertain stochastic neural networks; Biological neural networks; Delay; Mathematical model; Neural networks; Robust stability; Stability analysis; Stability criteria; Stochastic processes; Symmetric matrices; Uncertainty; LMI; Robust Stability; Stochastic Neural Networks; Two Time-Varying Delay Components; Uncertainties;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location
Yantai, Shandong
Print_ISBN
978-1-4244-1733-9
Electronic_ISBN
978-1-4244-1734-6
Type
conf
DOI
10.1109/CCDC.2008.4597781
Filename
4597781
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