Finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks with delay. (November 2019)

• Record Type: Journal Article
• Authors: Zhang, Yanlin; Deng, Shengfu
• Is Part Of: Chaos, solitons and fractals. Volume 128(2019)
• Page Start: 176
• Page End: 190
• Publication Date: 2019-11
• Subjects: Finite-time synchronization -- Fractional-order -- Memristor-based -- Complex-valued; 34A08 -- 34D06 -- 92B20; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.07.043
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: This paper studies the finite-time projective synchronization of fractional-order complex-valued memristor-based neural networks (FCVMNNs) with delay. By applying the set-valued map, the differential inclusion theory and Gronwall–Bellman integral inequalities, some sufficient criteria are established to achieve the finite time projective synchronization of the FCVMNNs. The upper bound of the settling time for synchronization is also estimated. Moreover, two numerical examples are designed to verify the correctness and effectiveness of the obtained theoretical results.