Finite-time generalized projective lag synchronization criteria for neutral-type neural networks with delay. (February 2018)

• Record Type: Journal Article
• Authors: Zheng, Mingwen; Wang, Zeming; Li, Lixiang; Peng, Haipeng; Xiao, Jinghua; Yang, Yixian; Zhang, Yanping; Feng, Cuicui
• Is Part Of: Chaos, solitons and fractals. Volume 107(2018)
• Page Start: 195
• Page End: 203
• Publication Date: 2018-02
• Subjects: Generalized projective lag synchronization -- Neutral-type neural networks -- Nonlinear feedback controller -- Gronwall-Bellman inequality; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.01.009
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: We first investigate the problem of generalized projective lag synchronization for neutral-type neural network with delay without using Lyapunov stability theory. Novel sufficient conditions that are easily validated are obtained to ensure the generalized projective lag synchronization of neutral-type neural network with delay. The main results can be easily extended to the studies of complete lag synchronization, function projective synchronization and lag anti synchronization. Moreover, the main results can also be applied equally to neural networks without neutral terms. Abstract: In this paper, we mainly investigate the finite-time generalized projective lag synchronization of neutral-type neural network with delay. With the help of the definition of finite-time generalized projective lag synchronization and Gronwall–Bellman inequality, the generalized projective lag synchronization is achieved between drive-response neural networks via a nonlinear feedback controller. Some novel and easily verifiable sufficient conditions are obtained. Many existing works can be regarded as special cases of our conclusions. Finally, we provide two simulation examples to verify the correctness of main results.