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Delay-Dependent Exponential Stability of Stochastic Delayed Recurrent Neural Networks with Markovian Switching

LIU Hai-feng WANG Chun-hua WEI Guo-liang

东华大学学报(英文版)2008,Vol.25Issue(2):195-199,5.
东华大学学报(英文版)2008,Vol.25Issue(2):195-199,5.

Delay-Dependent Exponential Stability of Stochastic Delayed Recurrent Neural Networks with Markovian Switching

Delay-Dependent Exponential Stability of Stochastic Delayed Recurrent Neural Networks with Markovian Switching

LIU Hai-feng 1WANG Chun-hua 2WEI Guo-liang1

作者信息

  • 1. Glorious Sun School of Business and Managcmvnt,Danghua University,Shanghai 200051,China
  • 2. Department of Applied Mathematics,Shanghai Fisheries University,Shanghai,200090,China
  • 折叠

摘要

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.

关键词

exponential stability/stochastic recurrent neural network/linear matrix inequality/time delay/Markovian szvitching

Key words

exponential stability/stochastic recurrent neural network/linear matrix inequality/time delay/Markovian szvitching

分类

数理科学

引用本文复制引用

LIU Hai-feng,WANG Chun-hua,WEI Guo-liang..Delay-Dependent Exponential Stability of Stochastic Delayed Recurrent Neural Networks with Markovian Switching[J].东华大学学报(英文版),2008,25(2):195-199,5.

东华大学学报(英文版)

1672-5220

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