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Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process

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  • Lee, S.H.
  • Park, M.J.
  • Kwon, O.M.
  • Sakthivel, R.

Abstract

In this paper, master-slave synchronization methods for nonlinear system are proposed under a reliable control scheme. In order to consider a more realistic situation in designing a reliable controller, Gaussian stochastic process is introduced to the concept of reliable control system. To confirm an effect of reliable control system, a new synchronization criterion of nonlinear systems under time-varying delay feedback and reliable control with Gaussian transition probabilities is derived within the framework of linear matrix inequalities (LMIs) based on Lyapunov method. Finally, two numerical examples are provided to show the effectiveness and applicability of the of the proposed results.

Suggested Citation

  • Lee, S.H. & Park, M.J. & Kwon, O.M. & Sakthivel, R., 2016. "Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 439-459.
    • Handle: RePEc:eee:apmaco:v:290:y:2016:i:c:p:439-459
    DOI: 10.1016/j.amc.2016.06.018
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    References listed on IDEAS

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    1. Shi, Kaibo & Liu, Xinzhi & Zhu, Hong & Zhong, Shouming & Zeng, Yong & Yin, Chun, 2016. "Novel delay-dependent master-slave synchronization criteria of chaotic Lur’e systems with time-varying-delay feedback control," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 137-154.
    2. Botmart, Thongchai & Niamsup, Piyapong, 2007. "Adaptive control and synchronization of the perturbed Chua’s system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 37-55.
    3. Pai, Ming-Chang, 2015. "Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 757-767.
    4. Carsten Schäfer & Michael G. Rosenblum & Jürgen Kurths & Hans-Henning Abel, 1998. "Heartbeat synchronized with ventilation," Nature, Nature, vol. 392(6673), pages 239-240, March.
    5. Zribi, Mohamed & Smaoui, Nejib & Salim, Haitham, 2009. "Synchronization of the unified chaotic systems using a sliding mode controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3197-3209.
    6. Wu, Xiangjun & Zhu, Changjiang & Kan, Haibin, 2015. "An improved secure communication scheme based passive synchronization of hyperchaotic complex nonlinear system," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 201-214.
    7. Upadhyay, Ranjit Kumar & Rai, Vikas, 2009. "Complex dynamics and synchronization in two non-identical chaotic ecological systems," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2233-2241.
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    Cited by:

    1. Harshavarthini, S. & Sakthivel, R. & Kong, F., 2020. "Finite-time synchronization of chaotic coronary artery system with input time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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