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

M. Syed Ali, M. Usha, O. M. Kwon, Nallappan Gunasekaran and Ganesh Kumar Thakur

International Journal of Systems Science, 2021, vol. 52, issue 7, 1270-1283

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.

Date: 2021
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DOI: 10.1080/00207721.2020.1856445

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