Abstract The paper is concerned with distributed optimal resource allocation problems on multi-agent systems that each agent has single-integrator dynamics. For the single-integrator multi-agent system, a local feasible set constraint is introduced and a distributed algorithm with projection operator is proposed. Compared with the algorithms in the existing literature on the single-integrator multi-agent systems, the proposed algorithm has simpler structure that reduces computation burden but without sacrificing the optimality. Incremental passivity theory is utilized to analyze the convergence of the algorithms. The simulation results illustrate the effectiveness of the proposed algorithms.

中文翻译：

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基于增量被动理论的最优资源分配问题的分布式算法设计

摘要 本文研究了多智能体系统上的分布式最优资源分配问题，每个智能体都具有单集成器动力学。针对单积分多智能体系统，引入局部可行集约束，提出一种带投影算子的分布式算法。与现有文献中关于单积分器多智能体系统的算法相比，所提出的算法结构更简单，在不牺牲最优性的情况下减少了计算负担。利用增量被动理论来分析算法的收敛性。仿真结果说明了所提出算法的有效性。