Finite-time synchronization of Markovian jump complex networks with partially unknown transition rates

Topology and parameters recognition of uncertain complex networks via nonidentical adaptive synchronization

“…Uncertainty can be frequently found in the topology structures [16] and in system dynamics as well. For most of previous works about synchronization of complex networks [17][18][19], it is assumed that the system parameters were completely known. To reflect practical situations, uncertainties should be considered in complex networks.…”

Finite-time synchronization of Markovian jump complex networks with generally uncertain transition rates

“…In contrast to the previously reported function (Cui et al, 2014), here we construct a new stochastic Lyapunov-Krasovskii function (12), which is described by…”

“…However, almost all of the above-mentioned references on the synchronization problem of complex networks do not consider the Markovian jump. Some extended results concerning the finite-time synchronization of complex networks have been reported in Cui et al (2014) and Wang et al (2015). The authors in Cui et al (2014) dealt with the problem of finite-time synchronization of MJCNs with partially unknown transition rates (PUTRs).…”

Synchronization of continuous-time Markovian jumping singular complex networks with mixed mode-dependent time delays

“…Dynamics analysis problem of Markovian jumping systems (MJSs) has stirred initial research interests [13,32]. A great number of efforts have been made to investigate the issues of stability, stabilization, and filtering of MJSs [30]. At the same time, several literatures have been published concerning the synchronization analysis of the complex networks with Markovian jumping parameters.…”

“…On the other hand, there has been a growing interest in singular systems for their extensive application in control theory, economics, circuits and other areas. Singular systems can be introduced to improve the traditional complex networks to describe the singular dynamic behaviors of nodes [27][28][29][30][31]. In [3], the synchronization problem for singular hybrid coupled networks with time-varying nonlinear perturbation is studied.…”