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Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control

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  • Yang, Huilan
  • Wang, Xin
  • Zhong, Shouming
  • Shu, Lan

Abstract

This paper investigates the exponential synchronization problem of nonlinear complex dynamical systems via delayed impulsive distributed control. Different from the existing results on the synchronization of complex dynamical systems, impulsive input delays are considered in our model. Combined with the time-varying Lyapunov functional and mathematical induction approaches, criteria on system synchronization are established, which sufficiently utilize the information of both the state variables of themselves and their neighbors. Moreover, it is shown that the frequency of impulsive occurrence and impulsive input delays can heavily affect the synchronization performance. Finally, two numerical simulations are given to illustrate the effectiveness of the derived theoretical results.

Suggested Citation

  • Yang, Huilan & Wang, Xin & Zhong, Shouming & Shu, Lan, 2018. "Synchronization of nonlinear complex dynamical systems via delayed impulsive distributed control," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 75-85.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:75-85
    DOI: 10.1016/j.amc.2017.09.019
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    References listed on IDEAS

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    4. Sakthivel, R. & Karthick, S.A. & Kaviarasan, B. & Lim, Yongdo, 2017. "Reliable state estimation of switched neutral system with nonlinear actuator faults via sampled-data control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 129-147.
    5. Sivaranjani, K. & Rakkiyappan, R. & Cao, Jinde & Alsaedi, Ahmed, 2017. "Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control," Applied Mathematics and Computation, Elsevier, vol. 311(C), pages 283-299.
    6. Bao, Haibo & Park, Ju H. & Cao, Jinde, 2015. "Matrix measure strategies for exponential synchronization and anti-synchronization of memristor-based neural networks with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 543-556.
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    Cited by:

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    3. Cui, Qian & Li, Lulu & Lu, Jianquan & Alofi, Abdulaziz, 2022. "Finite-time synchronization of complex dynamical networks under delayed impulsive effects," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    4. A.G., Soriano–Sánchez & C., Posadas–Castillo & M.A., Platas–Garza & A., Arellano–Delgado, 2018. "Synchronization and FPGA realization of complex networks with fractional–order Liu chaotic oscillators," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 250-262.
    5. Wang, Fei & Zheng, Zhaowen & Yang, Yongqing, 2021. "Quasi-synchronization of heterogenous fractional-order dynamical networks with time-varying delay via distributed impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    6. Yang, Huilan & Wang, Xin & Shu, Lan & Zhao, Guozhu & Zhong, Shouming, 2019. "A new sampling interval fragmentation approach to synchronization of chaotic Lur’e systems," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 12-24.
    7. Tan, Guoqiang & Wang, Zhanshan & Li, Cong, 2020. "H∞ performance state estimation of delayed static neural networks based on an improved proportional-integral estimator," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    8. Zeng, Deqiang & Zhang, Ruimei & Liu, Xinzhi & Zhong, Shouming & Shi, Kaibo, 2018. "Pinning stochastic sampled-data control for exponential synchronization of directed complex dynamical networks with sampled-data communications," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 102-118.
    9. Wang, Fei & Yang, Yongqing, 2018. "Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 1-14.
    10. Yi Liang & Yunyun Deng & Chuan Zhang, 2023. "Outer Synchronization of Two Muti-Layer Dynamical Complex Networks with Intermittent Pinning Control," Mathematics, MDPI, vol. 11(16), pages 1-15, August.
    11. Ruofeng Rao, 2019. "Global Stability of a Markovian Jumping Chaotic Financial System with Partially Unknown Transition Rates under Impulsive Control Involved in the Positive Interest Rate," Mathematics, MDPI, vol. 7(7), pages 1-15, June.
    12. Zhang, Xuefeng & Zhao, Zeli, 2020. "Robust stabilization for rectangular descriptor fractional order interval systems with order 0 < α < 1," Applied Mathematics and Computation, Elsevier, vol. 366(C).

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