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r-consensus control for discrete-time high-order multi-agent systems

关键字:directed graphs; discrete time systems; feedback; matrix algebra; multi-agent systems; numerical analysis; r-consensus control; numerical simulation; feedback parameters; third-order systems; matrix theory; consensus protocols; digraph; consensus problem; discrete-time high-order multiagent systems

摘要:This study considers a consensus problem of discrete-time high-order multi-agent systems with digraph. A concept r-consensus for discrete-time multi-agent systems is introduced, and consensus protocols are proposed for solving such problems. A sufficient and necessary condition for r-consensus is obtained using matrix theory. As a special case, criteria of r-consensus for third-order systems are given, in which the exact relationship of feedback parameters is established. Finally, the effectiveness of the theoretical results is demonstrated through a numerical simulation.

卷号:7

期号:17

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