Bounded synchronization for uncertain master–slave neural networks: An adaptive impulsive control approach. (May 2023)

• Record Type: Journal Article
• Authors: Guo, Yuru; Liu, Chang; Liu, Yonghua; Xu, Yong; Lu, Renquan; Huang, Tingwen
• Is Part Of: Neural networks. Volume 162(2023)
• Page Start: 288
• Page End: 296
• Publication Date: 2023-05
• Subjects: Bounded synchronization -- Master–slave neural networks -- Impulsive control -- Adaptive control; Neural computers -- Periodicals; Neural networks (Computer science) -- Periodicals; Neural networks (Neurobiology) -- Periodicals; Nervous System -- Periodicals; Ordinateurs neuronaux -- Périodiques; Réseaux neuronaux (Informatique) -- Périodiques; Réseaux neuronaux (Neurobiologie) -- Périodiques; Neural computers; Neural networks (Computer science); Neural networks (Neurobiology); Periodicals; 006.32
• DOI: 10.1016/j.neunet.2023.03.002
• Languages: English
• ISSNs: 0893-6080

Abstract

Abstract: This paper investigates the bounded synchronization of the discrete-time master–slave neural networks (MSNNs) with uncertainty. To deal with the unknown parameter in the MSNNs, a parameter adaptive law combined with the impulsive mechanism is proposed to improve the estimation efficiency. Meanwhile, the impulsive method also is applied to the controller design for saving the energy. In addition, a novel time-varying Lyapunov functional candidate is employed to depict the impulsive dynamical characteristic of the MSNNs, wherein a convex function related to the impulsive interval is used to obtain a sufficient condition for bounded synchronization of the MSNNs. Based on the above condition, the controller gain is calculated utilizing an unitary matrix. An algorithm is proposed to reduce the boundary of the synchronization error by optimizing its parameters. Finally, a numerical example is provided to illustrate the correctness and the superiority of the developed results.