Finite-time dissipative synchronization of discrete-time semi-Markovian jump complex dynamical networks with actuator faults

This paper is concerned with the problem of finite-time synchronization for a class of discretetime semi-Markovian jumping complex dynamical networks(CDNs) with actuator faults based on reliable control. The main aim of this paper is to design a state feedback controller such that the resulting closed-loop system is finite-time synchronized under a prescribed dissipativity performance level even in the presence of actuator failures. Moreover, a stochastic nature followed by Bernoulli distribution is described in the considered networks due to the occurrence of probabilistic nature in time-varying delays. By composing a suitable Lyapunov-Krasovskii functional (LKF) containing triple summation terms with the aid of Kronecker product properties and utilizing free weighting matrix approach, sufficient criteria are established in terms of linear matrix inequalities (LMIs) that assures finite-time synchronization and meets the dissipativity performance to the addressed CDNs. The usefulness of the presented design scheme is finally verified by numerical examples.