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**Delay-distribution-dependent consensus for second-order leader-follower nonlinear multiagent systems via pinning control.**
*(English)*
Zbl 1421.93132

Summary: This paper investigates the consensus problem for second-order leader-follower nonlinear multiagent systems with general network topologies. A pinning control algorithm is proposed, where it includes time-varying delay information. By using the information of delay-partition and delay-distribution and constructing an appropriate Lyapunov-Krasovskii functional, the consensus criteria are derived to achieve leader-follower consensus for multiagent systems, which are in the form of linear inequalities that can be solved by employing the semidefinite programme method. Moreover, this paper addresses what kind of agents and how many agents should be pinned. Two numerical examples are presented to further demonstrate the effectiveness of the proposed approach.

### MSC:

93D99 | Stability of control systems |

93A13 | Hierarchical systems |

68T42 | Agent technology and artificial intelligence |

93C55 | Discrete-time control/observation systems |

93C10 | Nonlinear systems in control theory |

90C22 | Semidefinite programming |

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\textit{H. Li} et al., Abstr. Appl. Anal. 2013, Article ID 621623, 11 p. (2013; Zbl 1421.93132)

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### References:

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