Estimating the region of attraction on fractional-order complex networks with time-varying delay

Feifei Du, Jun-Guo Lu and Qing-Hao Zhang

Mathematics and Computers in Simulation (MATCOM), 2025, vol. 234, issue C, 438-458

Abstract: Recently, there has been increasing attention towards reckoning the region of attraction (ROA) for networks. However, applying existing theory to networks with fractional-order and delays presents significant challenges. This article addresses the estimation of ROA for fractional-order complex networks with time-varying delay. Initially, two generalized fractional-order Halanay inequalities are formulated. Subsequently, leveraging the first Halanay inequality, a method for ROA estimation is developed, which is unaffected by both delay and fractional-order. However, this method tends to be conservative. To mitigate this conservatism, a delay-dependent and order-dependent ROA estimation technique is proposed based on our two developed Halanay inequalities. Additionally, numerical examples are presented to validate the proposed methodologies.

Keywords: Region of attraction; Fractional-order; Synchronization; Complex network; Time-varying delay (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:234:y:2025:i:c:p:438-458

DOI: 10.1016/j.matcom.2025.02.030

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