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Periodic oscillations in a class of fuzzy neural networks under impulsive control

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  • In this paper, a class of fuzzy neural networks under impulsive control is discussed. Using Mawhin's continuation theorem of coincidence degree and the Halanay-type inequalities, some sucient conditions for existence and globally exponential stability of periodic solution are established. Fuzzy rules are put into Lipschitzian condition and a new method to study stability is introduced, based on the Halanay-type inequalities. Furthermore, some neural network models are considered to illustrate the feasibility and e ectiveness of our results.
    Mathematics Subject Classification: Primary: 35C20, 35P20; Secondary: 93D15.


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