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

Bo Hou, F. Sun, Hongbo Li, Guangbin Liu
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引用次数: 0

Abstract

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.
具有马尔可夫跳变时滞的合作竞争网络中二阶多智能体系统的动态一致性
研究具有马尔可夫跳跃时滞的二阶多智能体系统的动态一致性问题。在本研究中,智能体不仅相互协作,而且相互竞争,这在现实场景中是普遍存在的。考虑了代理之间的拮抗相互作用,并在通信图上建模为负权重。我们首先从矩阵不等式的角度推导出一致性的充分条件。在此基础上,提出了一种基于锥互补线性化(CCL)的延迟相关控制器设计算法。该方法的框架是在抽样数据的情况下制定的,更加真实和适用。数值算例说明了该方法的有效性。
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