Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs

Author:

Akhmet Marat1ORCID,Tleubergenova Madina23ORCID,Zhamanshin Akylbek1ORCID

Affiliation:

1. Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey

2. Department of Mathematics, Aktobe Regional University, Aktobe 030000, Kazakhstan

3. Institute of Information and Computational Technologies, Almaty 050010, Kazakhstan

Abstract

Shunting inhibitory cellular neural networks with compartmental periodic unpredictable coefficients and inputs is the focus of this research. A new algorithm is suggested, to enlarge the set of known unpredictable functions by applying diagonalization in arguments of functions of several variables. Sufficient conditions for the existence and uniqueness of exponentially stable unpredictable and Poisson stable outputs are obtained. To attain theoretical results, the included intervals method and the contraction mapping principle are used. Appropriate examples with numerical simulations that support the theoretical results are provided. It is shown how dynamics of the neural network depend on a new numerical characteristic, the degree of periodicity.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference49 articles.

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4. Arulampalam, G., and Bouzerdoum, A. (2001, January 18–20). Application of shunting inhibitory artificial neural networks to medical diagnosis. Proceedings of the 7th Australian and New Zealand Intelligent Information Systems Conference, ANZIIS 2001, University of Western, Perth, WA, Australia.

5. Cheung, H.N., Bouzerdoum, A., and Newland, W. (1999, January 16–20). Properties of shunting inhibitory cellular neural networks for colour image enhancement. Proceedings of the 6th International Conference on Neural Information Processing, Perth, WA, Australia.

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