Existence of Periodic Solutions for the Discrete-Time Counterpart of a Neutral-Type Cellular Neural Network with Time-Varying Delays and Impulses

Haydar Akca, Eadah Al-Zahrani, Valéry Covachev, Zlatinka Covacheva


From the mathematical point of view, a cellular neural network (CNN) can be characterized by an array of identical nonlinear dynamical systems called cells (neurons) that are locally inter connected. Using thesemi-discretization method, in the present paper a discrete-time counter part of a neutral-type CNN with time-varying delays and impulses is constructed. Sufficient conditions for the existence of periodic solutions of the discrete-time system thus obtained arefoundby using the continuation theorem of coincidence degree theory.


Cellular neutralnetworks, impulses, neutral-type CNNs, time-varying delay.

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