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Finite-Time and Fixed-Time Synchronization of Inertial Neural Networks with Mixed Delays
作者姓名:CHAOUKI Aouiti  EL ABED Assali
作者单位:University of Carthage
摘    要:This paper considers the drive-response synchronization in finite-time and fixed-time of inertial neural networks with time-varying and distributed delays(mixed delays). First, by constructing a proper variable substitution, the original inertial neural networks can be rewritten as a first-order differential system. Second, by constructing Lyapunov functions and using differential inequalities,some new and effective criteria are obtained for ensuring the finite-time synchronization. Finally, three numerical examples are also given at the end of this paper to show the effectiveness of the results.

关 键 词:Finite-time  synchronization  fixed-time  synchronization  inertial  neural  networks  infinitetime  distributed  delays  time-varying  delays

Finite-Time and Fixed-Time Synchronization of Inertial Neural Networks with Mixed Delays
CHAOUKI Aouiti,EL ABED Assali.Finite-Time and Fixed-Time Synchronization of Inertial Neural Networks with Mixed Delays[J].Journal of Systems Science and Complexity,2021,34(1):206-235.
Authors:Chaouki  Aouiti  El Abed  Assali
Institution:1.Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia
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Abstract:This paper considers the drive-response synchronization in finite-time and fixed-time of inertial neural networks with time-varying and distributed delays(mixed delays). First, by constructing a proper variable substitution, the original inertial neural networks can be rewritten as a first-order differential system. Second, by constructing Lyapunov functions and using differential inequalities,some new and effective criteria are obtained for ensuring the finite-time synchronization. Finally, three numerical examples are also given at the end of this paper to show the effectiveness of the results.
Keywords:
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