Improved results on synchronisation of Markovian jump complex dynamical networks via sampled-data controller and convex combination

Abstract

This paper investigates the Markovian jump complex dynamical networks via a sampled-data controller and convex combination. Firstly, constructing an improved discontinuous Lyapunov-Krasovskii function (LKF), which is fully considered the characteristics of sampled-data to reduce the conservativeness. Secondly, designing an appropriate sample-data controller and combining some integral inequalities, convex function and free weighting matrices to utilise the upper bound on variable sampling interval and the sawtooth structure information of varying input delay. Then one can obtain the new criterion of sampled-data synchronisation. Finally, giving two examples to prove the effectiveness and superiority of the proposed methods. Obviously, compared with other existing literatures, this paper has less conservative.