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Containment control of multi-agent systems with time delay

机译:具有时间延迟的多主体系统的遏制控制

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This paper studies the containment control issue of multi-agent systems with time delay. By adopting continuous-time and sampled-data-based control protocols, we establish some necessary and sufficient containment control criteria for multi-agent systems with time delay. For the continuous-time case, our results show that both topology structure and time delay play an important role in the containment control of multi-agent systems, no matter whether the leaders are stationary (first-order system) or dynamic with constant velocity and time-varying position (second-order system). Furthermore, the maximum value of time delay to guarantee the achievement of containment control is given by the Hopf bifurcation theory. Moreover, we extend the results to the sampled-data case. Finally, numerical simulations are given to illustrate our main results.
机译:本文研究了具有时滞的多智能体系统的安全壳控制问题。通过采用基于连续时间和基于采样数据的控制协议,我们为具有延迟的多主体系统建立了一些必要和充分的遏制控制标准。对于连续时间情况,我们的结果表明,拓扑结构和时间延迟在多主体系统的遏制控制中都起着重要作用,无论领导者是固定的(一阶系统)还是恒速的动态和动态的。时变位置(二阶系统)。此外,霍普夫分岔理论给出了保证实现安全壳控制的时间延迟的最大值。此外,我们将结果扩展到采样数据的情况。最后,通过数值模拟来说明我们的主要结果。

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