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Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays
Ruoyu Wei1, Jinde Cao1, Ahmed Alsaedi2
11Research Center for Complex Systems and Network Sciences, School of Mathematics, Southeast University, Nanjing, 210096 China.
Abstract:
This paper investigates the finite-time synchronization and fixed-time synchronization problems of inertial memristive neural networks with time-varying delays. By utilizing the Filippov discontinuous theory and Lyapunov stability theory, several sufficient conditions are derived to ensure finite-time synchronization of inertial memristive neural networks. Then, for the purpose of making the setting time independent of initial condition, we consider the fixed-time synchronization. A novel criterion guaranteeing the fixed-time synchronization of inertial memristive neural networks is derived. Finally, three examples are provided to demonstrate the effectiveness of our main results.
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