Sampled-data [formula omitted] exponential synchronization for delayed semi-Markov jump CDNs: A looped-functional approach.

• A novel Lyapunov–Krasovskii functional with a looped-functional is constructed % t k + 1 . • A more general inequality is utilized to process the integral with a derivative of the state variable. • An % H ∞ performance index is raised to deal with the control problem for sMJCDNs. This paper investigates the H ∞ exponential synchronization problem of delayed semi-Markov jump complex dynamical networks by utilizing the sampled-data control scheme. Through introducing a semi-Markov jump model, where the transition rate is related to the sojourn time, the addressed issue is therefore more general. By constructing a suitable Lyapunov–Krasovskii functional with a looped-functional and adopting an advanced inequality method, sufficient conditions for the H ∞ exponential synchronization of delayed semi-Markov jump complex dynamical networks are presented. A numerical example is finally employed to confirm the validity of the proposed method. [ABSTRACT FROM AUTHOR]