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Asymptotically tracking control for discrete time-varying link system to structural balance via determined external stimulations

Yi Peng

http://orcid.org/0000-0003-1985-9221

School of Automation, Guangdong University of Technology, Guangzhou, Guangdong 510006, P. R. China

E-mail Address: pengyi@gdut.edu.cn

Corresponding author.

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Yinhe Wang

School of Automation, Guangdong University of Technology, Guangzhou, Guangdong 510006, P. R. China

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, and

Lizhi Liu

School of Automation, Guangdong University of Technology, Guangzhou, Guangdong 510006, P. R. China

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https://doi.org/10.1142/S0217979220501441Cited by:2 (Source: Crossref)

Abstract

This paper is concerned with the structural balance problem for complex dynamical network with the help of coupling effect related to the external stimulations. Consider a network with time-varying and value-weighted links, which can be regarded as a dynamic system. The link dynamic system is modeled as a Riccati matrix difference equation with the coupling matrix related to the external stimulations. By using the Kronecker product as an effective tool, a linear matrix inequality (LMI) approach is developed to derive a simple criterion for ensuring that the discrete link system asymptotically achieves structural balance, meanwhile, the external stimulations track a corresponding vector signal as well. Simulation examples are given to demonstrate the usefulness of the proposed control scheme in this paper.

Keywords:

PACS: 02.30.Yy, 89.75.Fb, 87.23.Ge

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