Synchronization of symmetric complex networks with heterogeneous time delays

Branislav Rehák, Volodymyr Lynnyk · 2019

The paper presents an algorithm for synchronization of a complex network composed of identical nodes. Time delays are present in the synchronization scheme. The delays are different for each node. It is shown that, in this case, the synchronization cannot be done perfectly, rather a steady error appears. An algorithm based on the H-inf control is proposed to find a bound on this steady error. It is formulated by means of linear matrix inequalities. The results are illustrated by two examples.

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