Abstract

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.

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