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Robust stabilization and synchronization in a network of chaotic systems with time-varying delays

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  • Serrano, Fernando E.
  • Ghosh, Dibakar

Abstract

In this paper, a novel controller technique is derived for the network synchronization of chaotic systems with time-varying delay. The stabilization of the complex chaotic systems is achieved by considering an appropriate Krasovskii-Lyapunov functional in order to find the asynchronous robust stabilization law and fast switching topology. In a similar way, the asynchronous technique is based on an appropriate switching topology in order to synchronize the chaotic systems. The time-varying delays occur in different systems which increase the complexity of the synchronization. So for this reason, an asynchronous controller is designed by considering the time-varying delays in order to avoid instability or deteriorate performance of the whole chaotic systems. The remarkable finding of this study is that the robust controller considers the uncertainties on each complex chaotic systems node until an exact synchronization is achieved while switching the action of the controller synchronization and the chaotic node dynamics of the studied complex systems. Finally, numerical examples are considered on chaotic Rössler systems to test and validate the obtained theoretical results.

Suggested Citation

  • Serrano, Fernando E. & Ghosh, Dibakar, 2022. "Robust stabilization and synchronization in a network of chaotic systems with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
  • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003447
    DOI: 10.1016/j.chaos.2022.112134
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    References listed on IDEAS

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    1. Soriano-Sánchez, A.G. & Posadas-Castillo, C. & Platas-Garza, M.A. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2016. "Coupling strength computation for chaotic synchronization of complex networks with multi-scroll attractors," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 305-316.
    2. Shi, Lin & Zhang, Chunmei & Zhong, Shouming, 2021. "Synchronization of singular complex networks with time-varying delay via pinning control and linear feedback control," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. Ruiz-Silva, A. & Gilardi-Velázquez, H.E. & Campos, Eric, 2021. "Emergence of synchronous behavior in a network with chaotic multistable systems," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Ghosh, Dibakar & Chowdhury, A. Roy & Saha, Papri, 2008. "Multiple delay Rössler system—Bifurcation and chaos control," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 472-485.
    5. Yang, Qing-Lin & Wang, Li-Fu & Zhao, Guo-Tao & Guo, Ge, 2020. "A coarse graining algorithm based on m-order degree in complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    6. Ghrab, Sonia & Benamor, Anouar & Messaoud, Hassani, 2021. "A new robust discrete-time sliding mode control design for systems with time-varying delays on state and input and unknown unmatched parameter uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 921-945.
    7. Darui Zhu & Ling Liu & Chongxin Liu, 2014. "Adaptive Pinning Synchronization Control of the Fractional-Order Chaos Nodes in Complex Networks," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, May.
    8. Luo, Yiping & Yao, Yuejie & Cheng, Zifeng & Xiao, Xing & Liu, Hanyu, 2021. "Event-triggered control for coupled reaction–diffusion complex network systems with finite-time synchronization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
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