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2013 Distributed Impulsive Consensus of the Multiagent System without Velocity Measurement
Zhi-Wei Liu, Hong Zhou, Zhi-Hong Guan, Wen-Shan Hu, Li Ding, Wei Wang
Abstr. Appl. Anal. 2013(SI40): 1-8 (2013). DOI: 10.1155/2013/825307

Abstract

This paper deals with the distributed consensus of the multiagent system. In particular, we consider the case where the velocity (second state) is unmeasurable and the communication among agents occurs at sampling instants. Based on the impulsive control theory, we propose an impulsive consensus algorithm that extends some of our previous work to account for the lack of velocity measurement. By using the stability theory of the impulsive system, some necessary and sufficient conditions are obtained to ensure the consensus of the controlled multiagent system. It is shown that the control gains, the sampled period and the eigenvalues of Laplacian matrix of communication graph play key roles in achieving consensus. Finally, a numerical simulation is provided to illustrate the effectiveness of the proposed algorithm.

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Zhi-Wei Liu. Hong Zhou. Zhi-Hong Guan. Wen-Shan Hu. Li Ding. Wei Wang. "Distributed Impulsive Consensus of the Multiagent System without Velocity Measurement." Abstr. Appl. Anal. 2013 (SI40) 1 - 8, 2013. https://doi.org/10.1155/2013/825307

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095400
MathSciNet: MR3090289
Digital Object Identifier: 10.1155/2013/825307

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI40 • 2013
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