Abstract
In this paper, we report the results concerned with the nonnegative periodic dynamics of the delayed Cohen-Grossberg neural networks with discontinuous activation functions and periodic interconnection coefficients, self-inhibitions, and external inputs. Filippov theory is utilized to study the viability, namely, the existence of the solution of the Cauchy problem. The conditions of diagonal dominant type are presented to guarantee the existence and the asymptotical stability of a periodic solution. Numerical examples are provided to illustrate the theoretical results.
This work was supported by the National Natural Sciences Foundation of China under Grant Nos. 60774074 and 60804044, and sponsored by Shanghai Pujiang Program No. 08PJ14019.
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He, X., Lu, W., Chen, T. (2009). Nonnegative Periodic Dynamics of Cohen-Grossberg Neural Networks with Discontinuous Activations and Discrete Time Delays. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_66
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DOI: https://doi.org/10.1007/978-3-642-01507-6_66
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