Resampled interval control for prescribed-time bipartite synchronization of signed networks

Min Xiao, Zhongtian Gao, Tianrui Chen and Ju H. Park

Chaos, Solitons & Fractals, 2025, vol. 196, issue C

Abstract: This paper explores prescribed-time bipartite synchronization (PTBS) of signed networks by employing resampled interval control (RIC). With the introduction of an interval adjustment parameter sequence, the control input can be adjusted dynamically, which makes the control strategy both effective and economical. Under this control strategy, bipartite synchronization can be achieved within the prescribed time. Subsequently, a Lyapunov function is constructed with an auxiliary function and Kirchhoff’s matrix tree theorem is introduced to derive the sufficient condition for achieving PTBS under RIC. Finally, a numerical example of Chua’s circuits (CCs) is exhibited to demonstrate the effectiveness of the theoretical analysis.

Keywords: Signed networks; Prescribed-time bipartite synchronization; Resampled interval control; Lyapunov function; Kirchhoff’s matrix tree theorem (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:196:y:2025:i:c:s096007792500356x

DOI: 10.1016/j.chaos.2025.116343

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