Outer synchronization and outer H∞ synchronization for coupled fractional-order reaction-diffusion neural networks with multiweights

Jin-Liang Wang; Si-Yang Wang; Yan-Ran Zhu; Tingwen Huang

doi:10.1016/j.neunet.2024.106893

Outer synchronization and outer H_∞ synchronization for coupled fractional-order reaction-diffusion neural networks with multiweights

Neural Netw. 2024 Nov 9:181:106893. doi: 10.1016/j.neunet.2024.106893. Online ahead of print.

Authors

Jin-Liang Wang¹, Si-Yang Wang¹, Yan-Ran Zhu², Tingwen Huang³

Affiliations

¹ Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin 300387, China.
² Tianjin Key Laboratory of Autonomous Intelligence Technology and Systems, School of Computer Science and Technology, Tiangong University, Tianjin 300387, China. Electronic address: [email protected].
³ Faculty of Computer Science and Control Engineering, Shenzhen University of Advanced Technology, Shenzhen 518055, China.

PMID: 39546874
DOI: 10.1016/j.neunet.2024.106893

Abstract

This paper introduces multiple state or spatial-diffusion coupled fractional-order reaction-diffusion neural networks, and discusses the outer synchronization and outer H_∞ synchronization problems for these coupled fractional-order reaction-diffusion neural networks (CFRNNs). The Lyapunov functional method, Laplace transform and inequality techniques are utilized to obtain some outer synchronization conditions for CFRNNs. Moreover, some criteria are also provided to make sure the outer H_∞ synchronization of CFRNNs. Finally, the derived outer and outer H_∞ synchronization conditions are validated on the basis of two numerical examples.

Keywords: Coupled fractional-order reaction–diffusion neural networks (CFRNNs); Multiple spatial-diffusion couplings; Multiple state couplings; Outer H(∞) synchronization; Outer synchronization.