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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.
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work is supported by NBHM [grant number 2—48(5)/2016/NBHMR.P/-R-D II/14088], and the Jiangsu Provincial Key Laboratory of Networked Collective Intelligence [grant number BM2017002]. The work of O.M. Kwon was supported in part by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [grant number NRF-2019R1I1A3A02058096], [grant number NRF-2020R1A6A1-A12047945], in part by the Brain Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT & Future Planning [grant number NRF-2017M3C7A1044815] and in part by the MSIT (Ministry of Science and ICT), Korea, under the ITRC (Information Technology Research Center) support program [grant number IITP-2020-1711120023] supervised by the IITP (Institute for Information & Communications Technology Planning & Evaluation).