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Exponential Synchronization of Nonlinear Multi-weighted Complex Dynamic Networks with Hybrid Time Varying Delays

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Abstract

In this article, we investigate an exponential synchronization problem for the multi-weighted complex dynamical network (MCDN) with hybrid delays on a time scale. Here we consider a general model for multi-weighted complex dynamical networks in both discrete as well as continuous-time systems. Based on the theory of time scale and standard Lyapunov–Krasovskii functional, a novel sufficient conditions guaranteeing the exponential stability of the origin of complex dynamical networks are determined in terms of Linear Matrix Inequality. Finally, two numerical examples with their simulations are presented to demonstrate the efficiency of the proposed method.

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Acknowledgements

The article has been written with the joint partial financial support of RUSA-Phase 2.0 grant sanctioned vide letter No.F 24-51/2014-U, Policy (TN Multi-Gen), Dept. of Edn. Govt. of India, UGC-SAP (DRS-I) vide letter No.F.510/8/DRS-I/2016(SAP-I) and DST (FIST- Phase I) vide letter No.SR/FIST/MS-I/2018-17, DST-PURSE 2nd Phase programme vide letter No. SR/ PURSE Phase 2/38 (G), the National Science Centre in Poland Grant DEC-2017/25/B/ST7/02888 and J. Alzabut would like to thank Prince Sultan University for supporting this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17.

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Authors and Affiliations

  1. Department of Mathematics, Alagappa University, Karaikudi, 630 004, India

    S. Aadhithiyan

  2. Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi, 630 004, India

    R. Raja

  3. School of Mathematics and Statistics, Hunan Normal University, Hunan, 410081, People’s Republic of China

    Quanxin Zhu

  4. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, People’s Republic of China

    Quanxin Zhu

  5. Department of Mathematics and General Sciences, Prince Sultan University, Riyadh, 12435, Saudi Arabia

    J. Alzabut

  6. Department of Automatic Control and Robotics, Faculty of Automatic Control, Electronics and Computer Science, Silesian University of Technology, Akademicka 16, 44-100, Gliwice, Poland

    M. Niezabitowski

  7. Institute for Intelligent System Research and Innovation, Deakin University, Melbourne, Australia

    C. P. Lim

Authors
  1. S. Aadhithiyan
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  2. R. Raja
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  3. Quanxin Zhu
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  4. J. Alzabut
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  5. M. Niezabitowski
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  6. C. P. Lim
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Correspondence to Quanxin Zhu.

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Aadhithiyan, S., Raja, R., Zhu, Q. et al. Exponential Synchronization of Nonlinear Multi-weighted Complex Dynamic Networks with Hybrid Time Varying Delays. Neural Process Lett 53, 1035–1063 (2021). https://doi.org/10.1007/s11063-021-10428-7

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