Exponential Synchronization of Coupled Neural Networks with Hybrid Delays and Stochastic Distributed Delayed Impulses

Gang Zhang, Yinfang Song () and Xiaoyou Liu
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Gang Zhang: School of Information and Mathematics, Yangtze University, Jingzhou 434023, China
Yinfang Song: School of Information and Mathematics, Yangtze University, Jingzhou 434023, China
Xiaoyou Liu: School of Mathematics and Computing Sciences, Hunan University of Science and Technology, Xiangtan 411201, China

Mathematics, 2024, vol. 12, issue 13, 1-22

Abstract: This paper is concerned with exponential synchronization for a class of coupled neural networks with hybrid delays and stochastic distributed delayed impulses. First of all, based on the average impulsive interval method, total probability formula and ergodic theory, several novel impulsive Halanay differential inequalities are established. Two types of stochastic impulses, i.e., stochastic distributed delayed impulses with dependent property and Markov property have been taken into account, respectively. Secondly, some criteria on exponential synchronization in the mean square of a class of coupled neural networks with stochastic distributed delayed impulses are acquired by combining the proposed lemmas and graph theory. The validity of the theoretical results is demonstrated by several numerical simulation examples.

Keywords: coupled neural networks; stochastic distributed delayed impulses; synchronization; Markov property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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