Finite-Time $${H_\infty }$$ Synchronization for Complex Dynamical Networks with Markovian Jump Parameter

In this paper, the problem of finite-time \({H_\infty }\) synchronization for complex dynamical networks with Markovian jump parameter is investigated. This purpose is concentrated on designing controller such that the obtain synchronization error system is finite-time \({H_\infty }\) synchronization. Based on the delay subinterval decomposition approach and linear matrix inequality approach, a new Lyapunov–Krasovskii functional is proposed to acquire the sufficient condition. Finally, numerical simulations are exploited to demonstrate our theoretical results.