Finite time synchronization of Markovian jumping stochastic complex dynamical systems with mix delays via hybrid control strategy

Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays

“…For finite-time synchronization, there only needs such a term -V ρ (t), 0 < ρ < 1; whereas for fixed-time synchronization, it needs the two terms -V ρ (t) (0 < ρ < 1) and -V ν (t) (ν > 1). Similar to the results in [30], the settling time T * of the finite-time synchronization obtained in Corollary 3.2 depends on the initial condition V (0). When V (0) is so large that the T * is not reasonable in practice application.…”

“…Remark 3.4 Compared with the finite-time synchronization conditions obtained in [30], it needs more conditions to realize the fixed-time synchronization goal. For finite-time synchronization, there only needs such a term -V ρ (t), 0 < ρ < 1; whereas for fixed-time synchronization, it needs the two terms -V ρ (t) (0 < ρ < 1) and -V ν (t) (ν > 1).…”

“…Up to now, the study concerning synchronization of Markovian jumping NNs, especially the global finite-time synchronization of Markovian jumping NNs have received wide attention from the scholars, and a number of results have been developed, such as finite-time synchronization [30], robust control [31], exponential synchronization [32], and state estimation [33]. However, the sojourn-time of a Markovian process obeys an exponential distribution, which results in the transition rate to be a constant.…”

Finite‐Time Synchronization and Synchronization Dynamics Analysis for Two Classes of Markovian Switching Multiweighted Complex Networks from Synchronization Control Rule Viewpoint

“…How to get * ? In this situation, finite-time problems of many systems have been attracting increasing interest [31][32][33][34][35][36][37][38][39][40][41][42]. For example, Liu et al [31] investigated finite/fixedtime synchronization of complex networks with stochastic disturbances.…”

“…In [34], finite-time robust passive control for a class of switched reaction-diffusion stochastic complex dynamical networks with coupling delays and impulsive control was considered. According to the obtained results of [31][32][33][34][35][36][37][38][39][40][41][42], it is observed that in some effective finite-time * estimation approaches for synchronization, passivity, and consensus, the proposed systems were derived. Unfortunately, to our knowledge, few researchers focused attention on finite-time synchronization of linear or nonlinear coupled Markovian switching multiweighted complex networks.…”