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

M. Haripriya; A. Manivannan; S. Dhanasekar; S. Lakshmanan; M. Haripriya; A. Manivannan; S. Dhanasekar; S. Lakshmanan

doi:10.3934/mmc.2025006

Mathematical Modelling and Control

2025, Volume 5, Issue 1: 73-84. doi: 10.3934/mmc.2025006

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

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, Tamil Nadu, India

Received: 01 May 2024 Revised: 22 October 2024 Accepted: 24 November 2024 Published: 14 March 2025

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.
- complex dynamical networks,
- finite-time synchronization,
- time-varying delay,
- pinning control,
- linear matrix inequalities
Citation: M. Haripriya, A. Manivannan, S. Dhanasekar, S. Lakshmanan. Finite-time synchronization of delayed complex dynamical networks via sampled-data controller[J]. Mathematical Modelling and Control, 2025, 5(1): 73-84. doi: 10.3934/mmc.2025006

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Abstract

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.

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