ℋ∞/passive non-fragile synchronisation of Markovian jump stochastic complex dynamical networks with time-varying delays. Issue 7 (19th May 2021)

• Record Type: Journal Article
• Authors: Syed Ali, M.; Usha, M.; Kwon, O. M.; Gunasekaran, Nallappan; Kumar Thakur, Ganesh
• Is Part Of: International journal of systems science. Volume 52:Issue 7(2021)
• Page Start: 1270
• Page End: 1283
• Publication Date: 2021-05-19
• Subjects: Synchronization -- complex dynamical networks -- non-fragile control -- Markov jump parameters -- stochastic noise -- time-varying delays; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2020.1856445
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : This paper deals with the problem of /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.