Event-triggered containment control for multi-agent systems with constant time delays.

*(English)*Zbl 1373.93027Summary: The paper investigates containment control for the first-order and second-order multi-agent systems with constant time delays under event-triggered conditions, respectively. By applying existing sum of square methods to stability analysis of containment control for multi-agent systems, sufficient containment conditions for multi-agent systems are obtained. First, we discussed the case of containment control for multi-agent system with single time delay, and event-triggered conditions are proposed. Then, we extend the results of containment control for multi-agent systems with single time delay to the case with multiple time delays. Finally, simulation examples are given to illustrate the effectiveness of our theoretical results.

##### MSC:

93A14 | Decentralized systems |

68T42 | Agent technology and artificial intelligence |

93D99 | Stability of control systems |

##### Keywords:

containment control; first-order and second-order multi-agent systems; constant time delays; event-triggered conditions; sum of square method; stability analysis
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\textit{G. Miao} et al., J. Franklin Inst. 354, No. 15, 6956--6977 (2017; Zbl 1373.93027)

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