General decay synchronization of T-S fuzzy complex-valued BAM neural networks with mixed time delays

Volume 39, Issue 4, pp 453--473 https://dx.doi.org/10.22436/jmcs.039.04.04

Publication Date: May 21, 2025 Submission Date: October 14, 2024 Revision Date: January 06, 2025 Accteptance Date: March 11, 2025

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Authors

X. Han - College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, P. R. China. A. Abdurahman - College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, P. R. China.

Abstract

This study investigated the general decay synchronization of T-S fuzzy Binary association memory (BAM) neural networks with discrete and distributed time delays over a complex domain. First, a novel and simple nonlinear feedback controller is introduced. Then, based on a suitable Lyapunov-Krasovskii functional and non-separation method of complex-valued systems, sufficient conditions for the concerned derived-response systems to achieve general decay synchronization are obtained through inequality techniques. Finally, the feasibility of the results was verified through numerical simulations. It is worth noting that general decay synchronization provides a more general convergence rate for synchronization errors approaching zero, and the usual logarithmic synchronization, exponential synchronization, and pronominal synchronization can be special cases of general decay synchronization considered in our work when \(\varrho(t)\) in the designed controller has specific functions.

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Keywords

• T-S fuzzy
• general decay synchronization
• complex-valued BAM neural network
• mixed time delay

MSC

•  34K41
•  93D15
•  34H05

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