Title :
Delay-Dependent Robust Exponential Stability Analysis of Stochastic Bidirectional Associative Memory Neural Networks with Delays
Author :
Chen, Chunli ; Lv, Zengwei ; Shu, Huisheng
Author_Institution :
Sch. of Inf. Sci. & Technol., Donghua Univ., Shanghai
Abstract :
For stochastic bi-directional associative memory (BAM) neural networks with constant delays, the problems of determining the exponential stability and estimating the exponential convergence rate are investigated in this paper. An approach combining the Lyapunov-Krasovskii functional with the linear matrix inequality (LMI) is taken to study the problems, Some criteria for the exponential stability, which give information on the delay-dependent property, are derived. The results obtained in this paper provide one more set of easily verified guidelines for determining the exponential stability of stochastic delayed BAM neural networks, A typical examples are presented to show the application of the criteria obtained in this paper.
Keywords :
Lyapunov methods; asymptotic stability; content-addressable storage; convergence; delays; estimation theory; linear matrix inequalities; neural nets; stochastic processes; Lyapunov-Krasovskii functional; constant delay; delay-dependent robust stability; exponential convergence estimation; exponential stability analysis; linear matrix inequality; stochastic bi-directional associative memory neural network; Associative memory; Bidirectional control; Convergence; Delay estimation; Magnesium compounds; Neural networks; Robust stability; Stability analysis; Stability criteria; Stochastic processes; Exponential stability; Linear matrix inequality; Lyapunov-Krasovskii functional; Stochastic bidirectional associative memory neural networks; Stochastic systems; Time delays; Uncertain systems;
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.2008.888