Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument

Date

2018-01-01

Author

Akhmet, Marat
Cengiz, Nur

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In this study, we develop a model of recurrent neural networks with functional dependence on piecewise constant argument of generalized type. Using the theoretical results obtained for functional differential equations with piecewise constant argument, we investigate conditions for existence and uniqueness of solutions, bounded solutions, and exponential stability of periodic solutions. We provide conditions based on the parameters of the model.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/41674

Journal

TURKISH JOURNAL OF MATHEMATICS

DOI

https://doi.org/10.3906/mat-1606-138

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet and N. Cengiz, “Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument,” TURKISH JOURNAL OF MATHEMATICS, pp. 272–292, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41674.