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Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control

Author

Listed:
  • Wu, Hongjuan
  • Li, Chuandong
  • He, Zhilong
  • Wang, Yinuo
  • He, Yingying

Abstract

In this paper, an asymmetric saturated impulsive control scheme is put forward and is suggested to realize the lag synchronization of two coupled dynamical systems in the master-slave pattern. We analyze the stability and then estimate the domain of attraction of the error system between slave system and master system based on Lyapunov stability theory, sector nonlinearity model approach, matrix inequality, set invariance, Schur complement. In addition, some sufficient conditions are also given for the lag synchronization of two nonlinear dynamical systems under this impulsive control scheme without actuator saturation. Finally, simulation results for a new chaotic oscillator and a Hopfield-type dynamic neural network are presented to show the feasibility and effectiveness of the obtained results.

Suggested Citation

  • Wu, Hongjuan & Li, Chuandong & He, Zhilong & Wang, Yinuo & He, Yingying, 2021. "Lag synchronization of nonlinear dynamical systems via asymmetric saturated impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006445
    DOI: 10.1016/j.chaos.2021.111290
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    References listed on IDEAS

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    1. Shuai Liu & Chuan Chen & Haipeng Peng, 2020. "Fixed-Time Synchronization of Neural Networks with Discrete Delay," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-9, August.
    2. Masoller, Cristina & Zanette, nindexDamianDamia’an H., 2001. "Anticipated synchronization in coupled chaotic maps with delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 359-366.
    3. Shouquan Pang & Yu Feng & Yongjian Liu, 2016. "Finite-Time Synchronization of Chaotic Systems with Different Dimension and Secure Communication," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-14, September.
    4. J.M. da Silva & A. Seuret & E. Fridman & J.P. Richard, 2011. "Stabilisation of neutral systems with saturating control inputs," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1093-1103.
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    Citations

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    Cited by:

    1. Bao, Han & Rong, Kang & Chen, Mo & Zhang, Xi & Bao, Bocheng, 2023. "Multistability and synchronization of discrete maps via memristive coupling," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Xianyang Xie & Shiping Wen & Yuming Feng & Babatunde Oluwaseun Onasanya, 2022. "Three-Stage-Impulse Control of Memristor-Based Chen Hyper-Chaotic System," Mathematics, MDPI, vol. 10(23), pages 1-16, December.
    3. Huan, Mingchen & Li, Chuandong, 2022. "Stability analysis of state-dependent impulsive systems via a new two-sided looped functional," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Xu, Ziqiang & Li, Yun & Zhan, Xisheng & Yan, Huaicheng & Han, Yiyan, 2024. "Time-varying formation of uncertain nonlinear multi-agent systems via adaptive feedback control approach with event-triggered impulsive estimator," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    5. Wu, Huagan & Bian, Yixuan & Zhang, Yunzhen & Guo, Yixuan & Xu, Quan & Chen, Mo, 2023. "Multi-stable states and synchronicity of a cellular neural network with memristive activation function," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Jiang, Xiaowei & Zhang, Ni & Li, Bo & Zhang, Xianhe, 2023. "Impulsive consensus of nonlinear multi-agent systems with input and state saturation constraints," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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