1. Finite-time synchronization for coupled neural networks with time-delay jumping coupling.
- Author
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Chen, Hui, Wang, Yiman, Liu, Chang, Xiao, Zijing, and Tao, Jie
- Subjects
DELAY lines ,NEURAL circuitry ,HIDDEN Markov models ,SYNCHRONIZATION ,CONVOLUTIONAL neural networks ,STOCHASTIC processes - Abstract
The finite-time synchronization problem is studied for coupled neural networks (CNNs) with time-delay jumping coupling. Markovian switching topologies, imprecise delay models, uncertain parameters and the unavailable of topology modes are considered in this work. A mode-dependent delay with pre-known conditional probability is built to handle the imprecise delay model problem. A hidden Markov model with uncertain parameters is introduced to describe the mode mismatch problem, and an asynchronous controller is designed. Besides, a set of Bernoulli processes models the random packet dropouts during data communication. Based on Markovian switching topologies, mode-dependent delays, uncertain probabilities and packet dropout, a sufficient condition that guarantees the CNNs reach finite-time synchronization (FTS) is derived. Finally, a numerical example is derived to demonstrate the efficiency of the proposed synchronous technique. • A time-delay model is considered for discrete-time coupled neural networks under the impact of Markovian switching topology. The delay in this work fully utilizing conditional probability distributions to associate with switching topology which offers the possibility of reducing conservatism. • The FTS problem for discrete-time coupled neural networks with general uncertain emission probabilities is investigated for the first time. • Based on the observed mode generated by uncertain emission probabilities, an asynchronous controller is designed to make discrete-time coupled neural networks reach finite-time synchronization. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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