Quasi-bipartite synchronization for delayed coupled inertial neural networks having cooperative and competitive communication via pinning control strategy
Chenthamarakshan C. Ganesan S. Sivakumar K. Kashkynbayev A.
January/December 2025John Wiley and Sons Inc
IET Control Theory and Applications
2025#19Issue 1
This study concentrates on achieving quasi-bipartite synchronization within signed coupled inertial neural networks featuring time-varying delays. The pinning controller technique addresses this problem within a structure incorporating cooperative and competitive interaction among the nodes. With the structurally balanced networks, some linear matrix inequality based sufficient conditions are derived for both reduced and non-reduced order methods with the help of Lyapunov–Krasovskii functional to achieve the quasi-bipartite pinning synchronization criterion. Further, the error bound is derived analytically for the leader–follower representation of the signed coupled inertial neural network model. At last, a numerical simulation result is provided to verify the correctness of the established theoretical results.
linear matrix inequality , Lyapunov–Krasovskii functional , pinning control , signed inertial neural networks , synchronization
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Department of Mathematics, Rathinam College of Arts and Science, Tamil Nadu, Coimbatore, India
Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Institute of Mathematics and Mathematical Modeling: Almaty, Almaty, Kazakhstan
Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling: Almaty
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