Existence and globally exponential stability of anti periodic solution for fuzzy BAM neural networks with time delays

By employing fundamental solution matrix of coefficients and Lyapunov function, we obtain some sufficient conditions on the existence and global exponential stability of anti periodic oscillatory solution for fuzzy bi-directional memory neural networks with time delays. These criteria are presented...

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Veröffentlicht in:Journal of applied mathematics & computing 2018-06, Vol.57 (1-2), p.729-743
Hauptverfasser: Zhang, Qianhong, Lin, Fubiao, Zhong, Xiaoying
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description By employing fundamental solution matrix of coefficients and Lyapunov function, we obtain some sufficient conditions on the existence and global exponential stability of anti periodic oscillatory solution for fuzzy bi-directional memory neural networks with time delays. These criteria are presented in terms of system parameters and have important leading significance in the design and applications of neural networks. Finally an example illustrates our results are feasible.
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subjects Applied mathematics
Computational Mathematics and Numerical Analysis
Fuzzy logic
Liapunov functions
Mathematical analysis
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Matrix
Neural networks
Original Research
Recurrent neural networks
Stability
Theory of Computation
title Existence and globally exponential stability of anti periodic solution for fuzzy BAM neural networks with time delays
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