Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients

Citation

Yang, Chengyan and Wang, Jin and Jian, Muwei and Dai, Jiashu (2024) Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients. Fractal and Fractional, 8 (9). art. no. 525. ISSN 2504-3110; eISSN: 2504-3110

Abstract

This paper studies synchronization behaviors of two sorts of non-linear fractional-order complex spatio-temporal networks modeled by hyperbolic space-varying PDEs (FCSNHSPDEs), respectively, with time-invariant delays and time-varying delays, including one delayed coupling. One distributed controller with space-varying control gains is firstly designed. For time-invariant delayed cases, sufficient conditions for synchronization of FCSNHSPDEs are presented via LMIs, which have no relation to time delays. For time-varying delayed cases, synchronization conditions of FCSNHSPDEs are presented via spatial algebraic LMIs (SALMIs), which are related to time delay varying speeds. Finally, two examples show the validity of the control approaches.

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Official URL or Download Paper: https://www.mdpi.com/2504-3110/8/9/525

Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.3390/fractalfract8090525
Publisher:	Multidisciplinary Digital Publishing Institute
Keywords:	Delayed coupling; PDEs; Space-varying; Synchronization control
Depositing User:	Ms. Nur Aina Ahmad Mustafa
Date Deposited:	17 Jan 2025 01:45
Last Modified:	17 Jan 2025 01:45
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/fractalfract8090525
URI:	http://psasir.upm.edu.my/id/eprint/114526
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