Fixed/predefined-time lag synchronization of complex-valued BAM neural networks with stochastic perturbations

Abdujelil Abdurahman, Mairemunisa Abudusaimaiti and Haijun Jiang

Applied Mathematics and Computation, 2023, vol. 444, issue C

Abstract: This paper studies the fixed-time and predefined-time lag synchronization of a class of complex-valued BAM neural networks with random disturbances. Firstly, based on the non-separation method, some basic properties of sign function in complex domain are introduced. Then, two simple complex-valued controllers are designed to achieve the fixed/predefined-time lag synchronization of considered stochastic systems. Compared with the results of existing works, the designed complex-valued controllers do not contain the linear term −λiei(t), which makes the controller more simpler and efficient. Finally, two numerical examples are provided to verify the feasibility of our results through MATLAB simulation.

Keywords: Fixed/Predefined-time stability; BAM neural network; Complex-valued neural network; Lag synchronization; Stochastic perturbation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:444:y:2023:i:c:s0096300322008797

DOI: 10.1016/j.amc.2022.127811

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