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

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 controlle...

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Main Authors: Yang, Chengyan, Wang, Jin, Jian, Muwei, Dai, Jiashu
Format: Article
Language:English
Published: Multidisciplinary Digital Publishing Institute 2024
Online Access:http://psasir.upm.edu.my/id/eprint/114526/1/114526.pdf
http://psasir.upm.edu.my/id/eprint/114526/
https://www.mdpi.com/2504-3110/8/9/525
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spelling my.upm.eprints.1145262025-01-17T01:45:08Z http://psasir.upm.edu.my/id/eprint/114526/ Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients Yang, Chengyan Wang, Jin Jian, Muwei Dai, Jiashu 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. Multidisciplinary Digital Publishing Institute 2024-09-09 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/114526/1/114526.pdf 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 https://www.mdpi.com/2504-3110/8/9/525 10.3390/fractalfract8090525
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Yang, Chengyan
Wang, Jin
Jian, Muwei
Dai, Jiashu
spellingShingle Yang, Chengyan
Wang, Jin
Jian, Muwei
Dai, Jiashu
Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients
author_facet Yang, Chengyan
Wang, Jin
Jian, Muwei
Dai, Jiashu
author_sort Yang, Chengyan
title Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients
title_short Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients
title_full Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients
title_fullStr Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients
title_full_unstemmed Synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic PDEs with delayed coupling and space-varying coefficients
title_sort synchronization control of complex spatio-temporal networks based on fractional-order hyperbolic pdes with delayed coupling and space-varying coefficients
publisher Multidisciplinary Digital Publishing Institute
publishDate 2024
url http://psasir.upm.edu.my/id/eprint/114526/1/114526.pdf
http://psasir.upm.edu.my/id/eprint/114526/
https://www.mdpi.com/2504-3110/8/9/525
_version_ 1823093185597931520
score 13.23648

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