Adaptive fixed-/predefined-time control for synchronism of IMNNs with mixed delays

Lili Zhou, Wenmiao Xu, Fei Tan and Fujin Jia

International Journal of Systems Science, 2026, vol. 57, issue 7, 1990-2005

Abstract: In this paper, we design one unitary adaptive fixed-time (FT) and predefined-time (PT) control strategy to solve the synchronism issues upon the inertial memristive neural networks (IMNNs) with time-varying/distributed delays. To get over the effect of time delay, one unitary controller is designed as a memorial controller. For the sake of suppressing the impact of uncertain factors, one adaptive control method is introduced for the design of FT/PT controllers. Under the designed adaptive update rate, synchronism of the IMNNs is achieved within a fixed/predefined settling time by automatically adjusting parameters of the FT and PT controllers. Some criteria for FT/PT synchronism under IMNNs with mixed delays are obtained, and the computing methods of FT/PT settling time are also obtained based on Lyapunov's second method. Several experiments are supplied to confirm the validity of the acquired outcomes.

Date: 2026
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DOI: 10.1080/00207721.2025.2547680

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