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Impulsive consensus algorithms for second-order multi-agent networks with sampled information. (English) Zbl 1246.93007
Summary: In this paper, the distributed consensus problem for second-order continuous-time multi-agent networks with sampled-data communication is investigated. Motivated by impulsive control strategy, two kinds of impulsive distributed consensus algorithm are proposed. These algorithms only utilize the sampled information and are implemented at sampled times. By using the stability theory of impulsive systems and properties of the Laplacian matrix, necessary and sufficient conditions are obtained to ensure the consensus of the controlled networks. It is shown that the control gains, the sampling period and the eigenvalues of the Laplacian matrix of the communication graph play key roles in achieving the consensus. A numerical example is given to illustrate the results.
MSC:
93A14Decentralized systems
68T45Machine vision and scene understanding
93C55Discrete-time control systems
94C15Applications of graph theory to circuits and networks
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