Finite-time and sampled-data synchronization of delayed Markovian jump complex dynamical networks based on passive theory

The motivation behind this paper is to explore the issue of passivity and passification for delayed complex dynamical networks with sampled-data control. An examined feedback control approach with sampling period is considered. By utilizing the Lyapunov-Krasovskii functional strategy, a novel delay-dependent passivity criterion is developed with respect to linear matrix inequalities to guarantee the delayed complex dynamical frameworks to be passive. At that point, obtained passivity conditions, the passification issue is further tackled by planning a non-uniform sampled-data controller design. The derived criteria are expressed in terms of linear matrix inequalities that can be easily checked by using the standard numerical software. Finally, a numerical example is provided to illustrate the applicability of the proposed approach.