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 discrete-time semi-Markovian jumping complex dynamical networks (CDNs) actuator faults based on reliable control. The main aim this to design state feedback controller such that resulting closed-loop system synchronized under prescribed dissipativity performance level even in presence failures. Moreover, stochastic nature followed by Bernoulli distribution described considered due occurrence probabilistic time-varying delays. By composing suitable Lyapunov–Krasovskii functional containing triple summation terms aid Kronecker product properties, Lyapunov stability theory and free weighting matrix approach, sufficient criteria are established linear inequalities assure meet addressed CDNs. usefulness presented scheme finally verified numerical examples.