The stationarity control of the average links for the Hebb complex dynamical network via external stimulus signals

Yi Peng; Yinhe Wang; Peitao Gao; Lili Zhang

doi:10.1016/j.isatra.2022.06.001

The stationarity control of the average links for the Hebb complex dynamical network via external stimulus signals

ISA Trans. 2023 Jan:132:338-345. doi: 10.1016/j.isatra.2022.06.001. Epub 2022 Jun 10.

Authors

Yi Peng¹, Yinhe Wang¹, Peitao Gao², Lili Zhang³

Affiliations

¹ School of Automation, Guangdong University of Technology, Guangzhou, Guangdong 510006, PR China.
² School of Automation, Guangdong University of Technology, Guangzhou, Guangdong 510006, PR China. Electronic address: peitao_gao@sina.com.
³ School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, Guangdong 510006, PR China.

PMID: 35725668
DOI: 10.1016/j.isatra.2022.06.001

Abstract

The model of complex dynamical network (CDN) can be represented as the mathematic graph, in which some characteristics may emerge from the dynamic nodes group (NG) and links group (LG). This paper primarily focuses on the feature appearing from the dynamic links. The average link weight (ALW), as a novel quantitative index to describe the characteristic of dynamic links is introduced. Inspired by the Hebb's neuroscience theory, the Hebb complex dynamical network (HCDN) is constructed. The ALW of the HCDN can track a given target via external stimulus signals with adaptive amplifiers' proportional coefficients. In other words, the stationary network implies the ALW is a constant in time. Finally, two simulation examples are performed to validate the proposed adaptive update law's effectiveness.

Keywords: Average link weight; External stimulus signals; Hebb complex dynamical network; Links group; Stationarity control.