Complete synchronization in predetermined/fixed-time for multilayered networks under edge-based discontinuous control

Tingting Zhao, Yu Zhou, Yiwen Qi and Jie Huang

Chaos, Solitons & Fractals, 2025, vol. 195, issue C

Abstract: Achieving synchronization in a designated time for multilayered networks (MLNs) is particularly challenging when state information is unavailable. This study provides theoretical solutions to the fixed-time (FIM) and predetermined-time (PIM) synchronization problems in MLNs. Firstly, a high-resolution model of MLNs is established with both intra-layer and inter-layer coupling. Additionally, a practical PIM stability theorem and high-precision settling time estimation are formulated. Furthermore, two edge-based event-triggered intermittent control (EAIC) strategies are developed for MLNs using various auxiliary functions. FIM/PIM synchronization issues are addressed while eliminating Zeno behaviors throughout, except during the settling time. Ultimately, the feasibility of the proposed theory is demonstrated through the design of a synchronization circuit within the complex system.

Keywords: Event-triggered control; Intermittent control; Multilayered networks; Fixed-time synchronization; Preassigned-time synchronization (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:195:y:2025:i:c:s0960077925002838

DOI: 10.1016/j.chaos.2025.116270

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