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Synchronization of nonlinear singularly perturbed complex networks with uncertain inner coupling via event triggered control

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  • Sivaranjani, K.
  • Rakkiyappan, R.
  • Cao, Jinde
  • Alsaedi, Ahmed

Abstract

This study is concerned with the synchronization problem of nonlinear singularly perturbed complex networks with time-varying coupling delays. In an aim to shrink the treatment of network resources event triggered control strategy is proposed to achieve the synchronization criteria. By developing the novel Lyapunov–Krasovskii functional, some adequate conditions which ensure the asymptotic synchronization are obtained in the form of linear matrix inequalities. Besides that, synchronization problem of nonlinear singularly perturbed complex networks with uncertain inner coupling are also taken into account. The uncertain inner coupling is represented by making use of the interval matrix approach. Finally, simulation results are displayed to show the efficacy of the proposed theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:311:y:2017:i:c:p:283-299
    DOI: 10.1016/j.amc.2017.05.007
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    References listed on IDEAS

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    1. Xu, Qiyi & Zhang, Yijun & He, Wangli & Xiao, Shunyuan, 2017. "Event-triggered networked H∞ control of discrete-time nonlinear singular systems," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 368-382.
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    Cited by:

    1. Zhang, Shuai & Yang, Yongqing & Sui, Xin & Xu, Xianyu, 2019. "Finite-time synchronization of memristive neural networks with parameter uncertainties via aperiodically intermittent adjustment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Li, Chengren & Lü, Ling & Li, Gang & Zhao, Guannan & Gao, Liyu & Ge, Lianjun & Han, Changhui, 2019. "Cluster synchronization in uncertain network with nonidentical nodes based on adaptive pinning control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 742-749.
    3. Guo, Beibei & Wu, Yinhu & Xiao, Yu & Zhang, Chiping, 2018. "Graph-theoretic approach to synchronizing stochastic coupled systems with time-varying delays on networks via periodically intermittent control," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 341-357.
    4. Luo, Mengzhuo & Cheng, Jun & Liu, Xinzhi & Zhong, Shouming, 2019. "An extended synchronization analysis for memristor-based coupled neural networks via aperiodically intermittent control," Applied Mathematics and Computation, Elsevier, vol. 344, pages 163-182.
    5. Luo, Mengzhuo & Liu, Xinzhi & Zhong, Shouming & Cheng, Jun, 2018. "Synchronization of multi-stochastic-link complex networks via aperiodically intermittent control with two different switched periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 20-38.
    6. 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.
    7. Li, Qiaoping & Liu, Sanyang & Chen, Yonggang, 2018. "Combination event-triggered adaptive networked synchronization communication for nonlinear uncertain fractional-order chaotic systems," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 521-535.
    8. Luo, Yiping & Deng, Fei & Ling, Zhaomin & Cheng, Zifeng, 2019. "Local H∞ synchronization of uncertain complex networks via non-fragile state feedback control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 335-346.
    9. Liang, Kun & Dai, Mingcheng & Shen, Hao & Wang, Jing & Wang, Zhen & Chen, Bo, 2018. "L2−L∞ synchronization for singularly perturbed complex networks with semi-Markov jump topology," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 450-462.
    10. Lü, Ling & Xu, Yuqing & Li, Ying & Li, Gang & Li, Chengren & Chen, Liansong, 2019. "Synchronization transmission of laser pattern signals between uncertain networks constructed by Gibbs laser spatial expanded models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 352-361.
    11. Lü, Ling & Li, Chengren & Li, Gang & Bai, Suyuan & Gao, Yan & Yan, Zhe & Rong, Tingting, 2018. "Adaptive synchronization of uncertain time-delayed and multi-link network with arbitrary topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 355-365.
    12. Lü, Ling & Li, Chengren & Bai, Suyuan & Li, Gang & Yan, Zhe & Rong, Tingting & Gao, Yan, 2018. "Synchronization between uncertain time-delayed networks with multi-link and different topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 635-643.
    13. Fang, Qi & Wang, Mingzhu & Li, Xiaodi, 2023. "Event-triggered distributed delayed impulsive control for nonlinear systems with applications to complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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