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Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays
Authors:Yangfan Wang  Ping LinLinshan Wang
Institution:
  • a Division of Mathematics, University of Dundee, Dundee, DD1 4HN, UK
  • b Department of Mathematics, Ocean University of China, Qingdao, 266071, China
  • c Department of Mathematics, Liaocheng University, Liaocheng, 252059, China
  • d Department of Mathematics and Mechanics, University of Science and Technology Beijing (USTB), Beijing, 100083, China
  • e College of Marine Life Sciences, Ocean University of China, Qingdao, 266071, China
  • Abstract:This paper studies the problems of global exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential stability in the mean square for the reaction-diffusion high-order neural networks are established, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results.
    Keywords:Reaction-diffusion high-order Hopfield neural networks  Time-varying delays  Markovian jump  Linear matrix inequalities  Exponential stability in the mean square
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