Synchronization analysis for complex networks with interval delay via non-fragile pinning control
Dawei Gong, Zhiwen Zhang, Xiaolin Dai, Jinliang Song, Bonan Huang · 2017
The problem of non-fragile pinning synchronization for complex networks is studied in this paper. Firstly, by using an inequality, which is introduced by using Newton-Leibniz formula, synchronization criterion is obtained by using novel mathematical skills. Secondly, a novel variable subintervals method is applied to expand the former results. Unlike previous results, the interval delay is divided into some dynamic variable sub-delays, which can introduce more weighting matrices. Thirdly, by resorting to Lyapunov function methods and some analysis techniques, the non-fragile pinning synchronization results are solved in terms of a set of LMI inequalities which are easy to be analyzed or computed. Finally, a numerical example is given to demonstrate the efficacy and efficiency of the proposed methods.