Finite-Time Projective Synchronization of Caputo Type Fractional Complex-Valued Delayed Neural Networks

Shuang Wang, Hai Zhang, Weiwei Zhang and Hongmei Zhang
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Shuang Wang: School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China
Hai Zhang: School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China
Weiwei Zhang: School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China
Hongmei Zhang: School of Mathematics and Physics, Anqing Normal University, Anqing 246133, China

Mathematics, 2021, vol. 9, issue 12, 1-14

Abstract: This paper focuses on investigating the finite-time projective synchronization of Caputo type fractional-order complex-valued neural networks with time delay (FOCVNNTD). Based on the properties of fractional calculus and various inequality techniques, by constructing suitable the Lyapunov function and designing two new types controllers, i.e., feedback controller and adaptive controller, two sufficient criteria are derived to ensure the projective finite-time synchronization between drive and response systems, and the synchronization time can effectively be estimated. Finally, two numerical examples are presented to verify the effectiveness and feasibility of the proposed results.

Keywords: fractional-order complex-valued neural networks; finite-time projective synchronization; feedback control; adaptive control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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