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Serveral Types Of Fuzzy Cellular Neural Network Synchronization With The 2n-dimensional Almost Periodic Discussions

Posted on:2012-03-05Degree:MasterType:Thesis
Country:ChinaCandidate:L H WangFull Text:PDF
GTID:2120330335480751Subject:Applied Mathematics
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This paper consists of five parts, in chapter one, we first introduce the emer-gence,development,actuality and the problems we will study of differential equations and cellular neural networks.The synchronization for a class of fuzzy cellular neural networks with delays and unknown parameters is discussed. Some new sufficient conditions are obtained by using the Lyapunov functional method, many real parameters, and linear matrix inequality (LMI). The asymptotic behavior of the unknown parameters can be derived in the meanwhile.In this paper, a class of 2N almost periodic attractors for Cohen-Grossberg-type bi-directional associative memory (BAM) neural networks with variable coefficients and distributed delays are discussed. By imposing some new assumptions on activation functions and system parameters, we split invariant basin of BAM into 2N compact convex subsets. Then the existence of 2N almost periodic solutions lying in compact convex subsets is attained. And some new criteria for the net-works to converge toward these 2N almost periodic solutions and exponential attracting domains are also given correspondingly. Finally, some examples are presented to illustrate the feasibility and effectiveness of the results.
Keywords/Search Tags:Fuzzy cellular neural networks, Synchronization, Lyapunov-Lasall principle, Adaptive control, linear matrix inequality, Cohen-Grossberg-type, BAM neural networks, Almost periodic solution, Invariant basins, Attracting domains
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