Fixed/Preassigned-Time Stochastic Synchronization of Complex-Valued Fuzzy Neural Networks with Time Delay

Mairemunisa Abudusaimaiti, Abuduwali Abudukeremu () and Amina Sabir
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Mairemunisa Abudusaimaiti: School of Mathematics and Statistics, Kashi University, Kashi 844006, China
Abuduwali Abudukeremu: School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
Amina Sabir: School of Mathematics and Statistics, Kashi University, Kashi 844006, China

Mathematics, 2023, vol. 11, issue 17, 1-18

Abstract: Instead of the separation approach, this paper mainly centers on studying the fixed/preassigned-time (FXT/PAT) synchronization of a type of complex-valued stochastic fuzzy cellular neural networks (CVSFCNNs) with time delay based on the direct method. Firstly, some basic properties of the sign function in complex fields and some generalized FXT/PAT stability lemmas for nonlinear stochastic differential equations are introduced. Secondly, by designing two delay-dependent complex-valued controllers with/without a sign function, sufficient conditions for CVSFCNNs to achieve FXT/PAT synchronization are obtained. Finally, the feasibility of the theoretical results is verified through a numerical example.

Keywords: complex-valued neural network; fuzzy cellular neural network; time delay; stochastic perturbation; fixed/preassigned-time synchronization (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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