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Dynamical consensus of second-order multi-agent systems in cooperation-competition network with Markov jumping delays

机译:马尔可夫跳跃时延竞争竞争网络中二阶多智能体系统的动力学共识

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This paper investigates the dynamical consensus problem of second-order multi-agent systems subject to Markov jumping delays. In this study, agents not only collaborate but also compete with each other, which is ubiquitous in real-world scenarios. Antagonistic interactions of the agents are considered, and modeled as negative weights on the communication graph. We first derive sufficient conditions for consensus in terms of matrix inequalities. Thereafter, a cone complementarity linearization (CCL) based algorithm is proposed for the delay-dependent controller design. The method's framework is formulated in sampled-data settings, to be more realistic and applicable. A numerical example is provided to illustrate the effectiveness of the proposed approach.
机译:本文研究了具有马尔可夫跳跃时滞的二阶多智能体系统的动力学共识问题。在本研究中,代理不仅协作,而且彼此竞争,这在现实世界中很普遍。考虑代理的对抗性交互,并将其建模为通信图上的负权重。我们首先得出关于矩阵不等式达成共识的充分条件。此后,提出了一种基于锥互补线性化(CCL)的算法,用于依赖于延迟的控制器设计。该方法的框架是在采样数据设置中制定的,以便更加现实和适用。提供了一个数值示例来说明所提出方法的有效性。

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