1. Periodic solution problems of neutral-type stochastic neural networks with time-varying delays.
- Author
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Famei Zheng, Xiaoliang Li, Bo Du, P, Balasubramaniam., and Peiluan Li
- Subjects
LINEAR matrix inequalities ,TIME-varying networks ,FUNCTIONAL differential equations ,DELAY differential equations ,BIDIRECTIONAL associative memories (Computer science) - Abstract
This paper is devoted to investigating a class of stochastic neutral-type neural networks with delays. By using the fixed point theorem and the properties of neutral-type operator, we obtain the existence conditions for periodic solutions of stochastic neutral-type neural networks. Furthermore, we obtain the conditions for the exponential stability of periodic solutions using Gronwall-Bellman inequality and stochastic analysis technique. Finally, a numerical example is given to show the effectiveness and merits of the present results. Our results can be used to obtain the existence and exponential stability of periodic solution to the corresponding deterministic systems. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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