Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations. (January 2021)

• Record Type: Journal Article
• Authors: Duan, Lian; Shi, Min; Huang, Chuangxia; Fang, Xianwen
• Is Part Of: Chaos, solitons and fractals. Volume 142(2021)
• Publication Date: 2021-01
• Subjects: Complex-valued neural network -- Discontinuous activation -- Reaction-diffusion -- Finite-/fixed-time synchronization; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2020.110386
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: The finite-/fixed-time synchronization of discontinuous diffusive CVNNs is studied. New controllers are designed different from existing ones. The halting time is exactly estimated. The obtained results enrich the research methods of finite-time synchronization. Numerical simulations are given to show the effectiveness of theoretical results. Abstract: In this paper, we analyze the finite-time synchronization problem between two delayed diffusive complex-valued neural networks(CVNNs) with discontinuous activations. We first establish the threshold finite-/fixed-time synchronization(FFTS) dynamics of the model by designing a novel negative exponent controller. Then we further study the finite-time synchronization via the adaptive control scheme. Some novel and useful finite-time synchronization criteria are established based on the discontinuous version of finite-time convergence theorem and Filippov regularization techniques, the upper-bound of the settling time is explicitly estimated as well. The obtained results extend some previous ones on CVNNs. Moreover, numerical simulations are performed to substantiate the effectiveness of the theoretical analysis.