Title :
Asymptotical Stability Criteria for Time-Delay Static Neural Networks Subject to Stochastic Perturbations
Author :
Huasheng Tan ; Mingang Hua
Author_Institution :
Coll. of Internet of Things Eng., Hohai Univ., Changzhou, China
Abstract :
This paper is concerned with the asymptotical stability analysis for stochastic static neural networks with time-varying delay. Here, the time derivative of the time-varying delay is no longer required to be smaller than one. With the use of convex polyhedron method, by constructing appropriate Lyapunov-Krasovskii functional, several delay-dependent stability sufficient conditions are formulated in terms of linear matrix inequality(LMI). A numerical example is finally provided to show the effectiveness of the proposed approach.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; stability criteria; time-varying systems; LMI; Lyapunov-Krasovskii functional; asymptotical stability analysis; convex polyhedron method; delay-dependent stability sufficient conditions; linear matrix inequality; stochastic perturbations; stochastic static neural networks; time-delay static neural networks; time-varying delay; Asymptotic stability; Delays; Numerical stability; Recurrent neural networks; Stability criteria; LMI; delay-dependent stability; stochastic static neural networks; time-varying delay;
Conference_Titel :
Computational Intelligence and Security (CIS), 2014 Tenth International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4799-7433-7
DOI :
10.1109/CIS.2014.58