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Distributed Algorithm Design for Resource Allocation Problems of High-Order Multiagent Systems

机译：高阶多元素系统资源分配问题的分布式算法设计

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摘要

A distributed resource allocation problem of high-order systems is studied in this article, where the decisions of agents are constrained by network resources. In contrast to well-known resource allocation problems, this problem involves the high-order dynamics of agents, which results in the ineffectiveness of existing distributed resource allocation algorithms. In order to optimally allocate the network resource, a distributed algorithm is developed via state feedback and gradient descent. Moreover, the convergence of the algorithm is analyzed with the help of convex analysis and Lyapunov stability theory. By the algorithm, the high-order agents globally exponentially converge to the optimal solution. Finally, the algorithm is illustrated by numerical examples.
机译：在本文中研究了高阶系统的分布式资源分配问题，其中代理的决策受网络资源约束。与众所周知的资源分配问题相比，这个问题涉及代理的高阶动态，这导致现有分布式资源分配算法的无效性。为了最佳地分配网络资源，通过状态反馈和梯度下降开发了分布式算法。此外，借助于凸分析和Lyapunov稳定性理论，分析了算法的收敛。通过算法，高阶代理全局指数地收敛到最佳解决方案。最后，通过数值示例说明该算法。

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