Sign-consensus of multi-agent systems over fast switching signed graphs

This paper studies sign-consensus of linear multi-agent systems, i.e., states of all agents will eventually have the same sign, but may with different magnitudes. The interactions between agents consist of both collaboration and competition, which is modeled by a signed directed graph. Moreover, the graph is allowed to be structurally unbalanced and time varying. To achieve sign-consensus, condition of the graph topology is obtained, and distributed control law is proposed and analyzed.

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