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Supervised by Ministry of Industry and Information Technology of The People's Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:ZHU En-wen,WANG Yong,ZHANG Han-jun,ZOU Jie-zhong.Mean square stability of recurrent neural networks with random delay and Markovian switching[J].Journal of Harbin Institute Of Technology(New Series),2009,16(5):678-682.DOI:10.11916/j.issn.1005-9113.2009.05.017.
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Mean square stability of recurrent neural networks with random delay and Markovian switching
Author NameAffiliation
ZHU En-wen School of Mathematics and Computational Science,Changsha University of Science and Technology,Changsha 410076,China
School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China 
WANG Yong Dept.of Mathematics,Harbin Institute of Technology, Harbin 150001,China 
ZHANG Han-jun School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,China 
ZOU Jie-zhong School of Mathematics,Central South University,Changsha 410075,China 
Abstract:
To establish easily proved conditions under which the random delayed recurrent neural network with Markovian switching is mean-square stability,the evolution of the delay was modeled by a continuous-time homogeneous Markov process with a finite number of states.By employing Lyapunov-Krasovskii functionals and conducting stochastic analysis,a linear matrix inequality (LMI) approach was developed to derive the criteria for mean-square stability,which can be readily checked by some standard numerical packages such as the Matlab LMI Toolbox.A numerical example was exploited to show the usefulness of the derived LMI-based stability conditions.
Key words:  recurrent neural networks  mean-square stability  random delay  Markovian switching  linear matrix inequality
DOI:10.11916/j.issn.1005-9113.2009.05.017
Clc Number:O781;O734
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