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Event-triggered containment control for multi-agent systems with constant time delays. (English) Zbl 1373.93027
Summary: 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
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