Fixed/Predefined-Time Synchronization of Complex-Valued Stochastic BAM Neural Networks with Stabilizing and Destabilizing Impulse

Jingjing You, Abdujelil Abdurahman () and Hayrengul Sadik
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Jingjing You: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
Abdujelil Abdurahman: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China
Hayrengul Sadik: College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China

Mathematics, 2022, vol. 10, issue 22, 1-20

Abstract: This article is mainly concerned with the fixed-time and predefined-time synchronization problem for a type of complex-valued BAM neural networks with stochastic perturbations and impulse effect. First, some previous fixed-time stability results on nonlinear impulsive systems in which stabilizing and destabilizing impulses were separately analyzed are extended to a general case in which the stabilizing and destabilizing impulses can be handled simultaneously. Additionally, using the same logic, a new predefined-time stability lemma for stochastic nonlinear systems with a general impulsive effect is obtained by using the inequality technique. Then, based on these novel results, two novel controllers are implemented to derive some simple fixed/predefined-time synchronization criteria for the considered complex-valued impulsive BAM neural networks with stochastic perturbations using the non-separation method. Finally, two numerical examples are given to demonstrate the feasibility of the obtained results.

Keywords: stochastic perturbation; impulse effect; complex-valued BAM neural network; fixed-time synchronization; predefined-time synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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