Population dynamics approach for resource allocation problems

Population dynamics approach for resource allocation problems
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资源分配问题的群体动态方法

DOI:
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发表时间:
2015
期刊:
American Control Conference
影响因子:
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通讯作者:
C. Damaren
C. Damaren
中科院分区:
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文献类型:
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作者:
A. Pashaie;Lacra Pavel;C. Damaren

文献摘要

被引文献

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在本文中,水分配系统(WDS),作为一个例子的资源分配问题,进行了研究。为了达到足够的服务水平以满足需求,应该控制水的流量。一种新的博弈论的方法是用来保持白龙会的控制。反馈互联的WDS和基于博弈论的控制器达到一个渐近稳定的平衡点,其稳定性分析使用无源性概念和李雅普诺夫稳定性定理的闭环系统。此外,推广到一类分布问题,保持相同的稳定性。通过不同场景下的仿真验证了该方法的有效性。
In this paper, a water distribution system (WDS), as an example of resource distribution problems, is investigated. To achieve an adequate level of service to satisfy the demands, the flow of water should be controlled. A novel game-theoretic approach is utilized to keep the WDS under control. The feedback interconnection of the WDS and the game-theoretic-based controller reaches an asymptotically stable equilibrium point where its stability analysis uses passivity concepts and the Lyapunov stability theorem for the closed-loop system. Moreover, a generalization to a class of distribution problem that maintains the same stability properties is provided. The effectiveness of the method is subsequently verified by simulations under different scenarios.