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**Distributed impulsive consensus of the multiagent system without velocity measurement.**
*(English)*
Zbl 1421.93133

Summary: 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.

### MSC:

93D99 | Stability of control systems |

93A14 | Decentralized systems |

68T42 | Agent technology and artificial intelligence |

93C15 | Control/observation systems governed by ordinary differential equations |

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\textit{Z.-W. Liu} et al., Abstr. Appl. Anal. 2013, Article ID 825307, 8 p. (2013; Zbl 1421.93133)

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