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ℋ∞/passive non-fragile synchronisation of Markovian jump stochastic complex dynamical networks with time-varying delays

Author

Listed:
  • M. Syed Ali
  • M. Usha
  • O. M. Kwon
  • Nallappan Gunasekaran
  • Ganesh Kumar Thakur

Abstract

This paper deals with the problem of $ \mathcal {H}_\infty $ /passive non-fragile synchronisation for a class of complex dynamical networks subject to Markovian jumping time-varying coupling delays. Gain variation is represented by a stochastic variable that is assumed to satisfy the Bernoulli distribution with white sequences. The synchronisation error system became stable through our designed controller. By Lyapunov–Krasovskii stability theory, a new stochastic synchronisation criterion is established for the considered network in terms of linear matrix inequality (LMI). An illustration is given to show effectiveness of the proposed theoretical results.

Suggested Citation

  • M. Syed Ali & M. Usha & O. M. Kwon & Nallappan Gunasekaran & Ganesh Kumar Thakur, 2021. "ℋ∞/passive non-fragile synchronisation of Markovian jump stochastic complex dynamical networks with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(7), pages 1270-1283, May.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:7:p:1270-1283
    DOI: 10.1080/00207721.2020.1856445
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