A design method for controllable topologies of multi-agent networks

Zhijian Ji, Tongwen Chen, Haisheng Yu · 2016

For a multi-agent system with each agent having general linear dynamics, necessary and sufficient algebraic conditions are proposed for controllability. Then the difference in algebraic controllability conditions between single-integrator and generic multi-agent systems is pointed out. Based on these conditions and the identified indecisive graph node, a method is finally developed for the design of controllable topologies. The result also indicates the importance of recognition of uncontrollable topology structures.

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