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On Sampled–Data Leaderless Consensus Tracking of Nonlinear Multi–Agent Time–Delay Systems ?

机译：关于非线性多代理时间延迟系统的采样 - 数据无线共识跟踪 ？

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This paper deals with the sampled-data leaderless consensus tracking problem of nonlinear time-delay multi-agent systems (MASs) over strongly directed networks. In particular, a new methodology for the design of sampled-data controllers achieving the leaderless consensus tracking of nonlinear MASs affected by state-delays is proposed. Firstly, the notion of steepest descent consensus feedback (SDCF), induced by a general class of Lyapunov-Krasovskii functionals, is introduced. Then, it is proved that there exists a suitably small maximum inter-sampling time such that the digital implementation of SDCFs (continuous or not) achieves the leaderless consensus tracking in a semi-global practical sense of the related sampled-data closed-loop MAS. The stabilization in the sample-and-hold sense theory is used as a tool for proving the results. The case of time-varying sampling intervals as well as the stability analysis of the inter-sampling system behaviour is included in the theory here developed. An example is studied in order to validate the results.
机译：本文涉及强型网络上非线性时滞多智能体系（质量）的采样数据无线共识跟踪问题。特别地，提出了一种设计用于实现受状态延迟影响的非线性质量的无线共识跟踪的采样数据控制器的新方法。首先，介绍了由一般阶级Lyapunov-Krasovskii功能引起的最陡的血液达成共识反馈（SDCF）的概念。然后，证明存在适当的最大采样间采样时间，使得SDCFS（连续或不）的数字实现实现了与相关采样数据闭环MAS的半全局实际意义上的无线共识跟踪。样品和保持感应理论的稳定用作证明结果的工具。在这里开发的理论中包括时变采样间隔以及采样间系统行为的稳定性分析的情况。研究了一个例子以验证结果。

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