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


Otkel M. Ganesan S. Rajan R. Kashkynbayev A.
August 2024Elsevier B.V.

Mathematics and Computers in Simulation
2024#222252 - 263 pp.

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.

Finite-time/fixed-time synchronization , Memristor , Shunting inhibitory cellular neural networks , Sliding mode controller

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Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Astana, 020000, Kazakhstan
Department of Mathematics, Bharathiar University, Coimbatore, 641046, India

Department of Mathematics
Department of Mathematics

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