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Delay-Dependent Exponential Stability of Stochastic Delayed Recurrent Neural Networks with Markovian Switching
Authors:LIU Hai-feng  WANG Chun-hua  WEI Guo-liang
Institution:1. Glorious Sun School of Business and Managcmvnt,Danghua University,Shanghai 200051,China
2. Department of Applied Mathematics,Shanghai Fisheries University,Shanghai,200090,China
Abstract:The exponential stability problem is investigated fora class of stochastic recurrent neural networks with time delay and Markovian switching.By using It(o)'s differential formula and the Lyapunov stabifity theory,sufficient condition for the solvability of this problem is derived in telm of linear matrix inequalities,which can be easily checked by resorting to available software packages.A numerical example and the simulation are exploited to demonstrate the effectiveness of the proposed results.
Keywords:exponential stability  stochastic recurrent neural network  linear matrix inequality  time delay  Markovian szvitching
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