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Algebraic criteria for consensus problems of general linear multi-agent systems with switching topology. (English) Zbl 1395.93029
Summary: This paper considers leaderless consensus problem and leader-following consensus problem for general linear multi-agent systems with switching interaction topology. Based on the relative states of the neighboring agents, two distributed control protocols are presented. By investigating the null space of a group of Riccati equations, algebraic criteria for the consensus problems are established, and further discussions on the preconditions of the theorems are proposed. Numerical simulations on multi-agent systems are presented to demonstrate the efficiency of our criteria.

MSC:
93A13 Hierarchical systems
93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93B25 Algebraic methods
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