Finite-time modified projective synchronization of memristor-based neural network with multi-links and leakage delay. (November 2018)

• Record Type: Journal Article
• Authors: Qin, Xiaoli; Wang, Cong; Li, Lixiang; Peng, Haipeng; Yang, Yixian; Ye, Lu
• Is Part Of: Chaos, solitons and fractals. Volume 116(2018)
• Page Start: 302
• Page End: 315
• Publication Date: 2018-11
• Subjects: Memristor-based neural networks with multi-links (MNNLs) -- Leakage delay -- Finite-time synchronization -- Modified projective synchronization; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.09.040
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: We investigate finite-time modified projective synchronization problems of memristor-based neural networks with multi-links (MNNLs) and leakage & discrete time-varying delays, which can be extended to studies of common MNNs or common complex networks. Two different kinds of finite-time synchronization methods are adopted to ensure the finite-time modified projective synchronization. And the adaptive feedback controller can be degraded to the general controller. The main results can be easily extended to the studies of complete synchronization, projective synchronization and anti-synchronization. Abstract: This paper investigates the finite-time modified projective synchronization problem of memristor-based neural networks with multi-links (MNNLs). And leakage and discrete time-varying delays (mixed delays) are considered in the MNNLs model. By designing a delay-dependent controller and an adaptive controller, the drive-response systems can reach finite-time modified projective synchronization with arbitrary constants. Based on two kinds of finite-time stability theories and some differential inequalities, several finite-time modified projective synchronization criteria are obtained with the Lyapunov stability method. Besides, several corollaries about the special cases of finite-time modified projective synchronization are given along with the proposed theorems. At last, three numerical simulations are given to illustrate the effectiveness and verify the correctness of our results.