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Sampled-data sliding mode exponential synchronisation of Master–Slave Markovian jump complex networks with nonlinear perturbation

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  • Xiaojie Huang
  • Yuechao Ma

Abstract

This paper investigates the exponential synchronization of Master–Slave Markovian jump complex networks with nonlinear perturbation via a sampled-data sliding mode control. First introduce an improved LKF and fully consider the sampling process information in LKF. Designing an integral sliding mode surface and obtaining the equivalent controller, combined with the efficient integral inequality and the free weighting matrix, the criterion for synchronising the sampling network with the sampling sliding mode index is obtained. Then prove the accessibility of the nodes of the system on the sliding surface. Finally, the correctness and practical application performance of the obtained theorem are verified by numerical simulation examples.

Suggested Citation

  • Xiaojie Huang & Yuechao Ma, 2020. "Sampled-data sliding mode exponential synchronisation of Master–Slave Markovian jump complex networks with nonlinear perturbation," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(10), pages 1714-1732, July.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:10:p:1714-1732
    DOI: 10.1080/00207721.2020.1773957
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