Finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks via sliding mode control

Madina Otkel, Soundararajan Ganesan, Rakkiyappan Rajan and Ardak Kashkynbayev

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 222, issue C, 252-263

Abstract: This paper proposes a novel time-dependent gain parameter-based sliding mode controller (SMC) to realize the finite-time/fixed-time synchronization of memristive shunting inhibitory cellular neural networks (Mem-SICNNs) having time-varying delays. In this regard, a new terminal sliding mode surface is designed and its reachability is analyzed. According to synchronization error analysis, the stability property of the desired error system is reached within finite-time/fixed-time range by proposing a unique time-dependent gain parameter-based SMC and choosing the appropriate Lyapunov functionals. Finally, a numerical example is approached by software simulation and manual calculation to estimate the settling-time of the finite-time/fixed-time synchronization criteria of the proposed Mem-SICNNs model.

Keywords: Finite-time/fixed-time synchronization; Memristor; Shunting inhibitory cellular neural networks; Sliding mode controller (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:222:y:2024:i:c:p:252-263

DOI: 10.1016/j.matcom.2023.08.024

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