Bounded synchronization for uncertain master-slave neural networks: An adaptive impulsive control approach. Academic Article

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.

authors

• Huang, Tingwen

published proceedings

• Neural Netw

author list (cited authors)

• Guo, Y., Liu, C., Liu, Y., Xu, Y., Lu, R., & Huang, T.

citation count

• 0

complete list of authors

• Guo, Yuru||Liu, Chang||Liu, Yonghua||Xu, Yong||Lu, Renquan||Huang, Tingwen

publication date

• May 2023

publisher

• Elsevier  Publisher

published in

• Neural Networks  Journal

keywords

• Adaptive Control
• Algorithms
• Bounded Synchronization
• Impulsive Control
• Master–slave Neural Networks
• Neural Networks, Computer
• Time Factors
• Uncertainty

Digital Object Identifier (DOI)

• 10.1016/j.neunet.2023.03.002

start page

• 288

end page

• 296

volume

• 162

URL

• http://dx.doi.org/10.1016/j.neunet.2023.03.002