Abstract
This work addresses the synchronization/consensus problem for identical multi-agent system (MAS). The dynamics of the agent is a general linear system that can be unstable. This work uses a gain matrix in a dynamic compensator setting and shows that under mild conditions, synchronization/consensus is achieved when the gain is sufficiently large. The proposed controller structure can be seen as a special case of existing MAS structures but offers consensus conditions that are simpler than the existing results, especially in the case of switching networks. It can be applied to the following three communication settings: fixed network, switching among undirected and connected networks and switching among directed and connected networks. An example is provided to illustrate the results.