Synchronization control for multi-linear positive systems

This technical note is aimed at studying the joint impacts of the system dynamic structure and the communication topology on the synchronization of multi-linear positive systems. Through rigorous analysis, necessary and sufficient conditions are given to guarantee the coupled systems achieving positive synchronization under the distributed control protocol, and the gain matrix designed is related to the algebraic connectivity of the topology and the system matrices. Finally, a numerical example is given to illustrate the effectiveness of the obtained theoretical results.

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