Exponential synchronization of a Markovian jump complex dynamic network with piecewise-constant transition rates and distributed delay

Abstract

The exponential synchronization of a Markovian jump complex dynamical network with piecewise-constant transition rates is investigated. Two distinct types of time-varying delay are considered for the system; one is distributed time-delay for each node, the other is discrete coupling time-delay. Based on an augmented Lyapunov–Krasovskii functional, some sufficient conditions are derived and expressed in the form of linear matrix inequalities, which are formulated in such a manner as to determine the controller gain matrices. Finally, an example is given to illustrate the effectiveness and validity of the proposed method.

Finite-time extended dissipative filtering for nonlinear Markovian jump systems with unknown transition rates and time-varying delays

“…Due to the applicability in modelling practical systems with abrupt variations in structure or parameters, just as power system (Li et al, 2007), flight system (Gray et al, 2000), and so forth. Markovian jump systems (MJSs) have been attracting ever increasing research interests over the past few decades (Akbari et al, 2019;Costa et al, 2013;Hou et al, 2013;Mao, 2002). The dynamic form of this kind of hybrid systems is composed of systems state and modes, and the transition between each mode obeys Markov process.…”