Finite-time synchronization of delayed complex dynamical networks via sampled-data controller

This paper focused on the finite-time synchronization problem of complex dynamical networks (CDNs) with time-varying delay under sampled-data control schemes. A pinning control approach based on sampled-data was designed to achieve synchronization criteria. Developing a new looped Lyapunov functiona...

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Bibliographic Details
Published inMathematical modelling and control Vol. 5; no. 1; pp. 73 - 84
Main Authors Haripriya, M., Manivannan, A., Dhanasekar, S., Lakshmanan, S.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2025
Subjects
complex dynamical networks
finite-time synchronization
linear matrix inequalities
pinning control
time-varying delay
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Summary:This paper focused on the finite-time synchronization problem of complex dynamical networks (CDNs) with time-varying delay under sampled-data control schemes. A pinning control approach based on sampled-data was designed to achieve synchronization criteria. Developing a new looped Lyapunov functional with delayed information and sampling instants yielded sufficient conditions as linear matrix inequalities. The suggested CDNs were synchronized with one another since the derived criteria guaranteed the error CDN's asymptotic stability. A numerical example and corresponding simulation results confirmed the proposed control scheme's effectiveness.
ISSN:2767-8946
2767-8946
DOI:10.3934/mmc.2025006