Automation and Remote Control

, Volume 73, Issue 6, pp 1016–1028 | Cite as

Asymmetric resource networks. II. Flows for large resources and their stabilization

  • L. Yu. Zhilyakova
System Analysis and Operations Research


We study stabilization processes in resource networks with arbitrary topology for large values of the resource, when certain vertices accumulate the resource, and resource in these vertices exceeds output bandwidth. We introduce the notion of flow in a network and study monotone and nonmonotone flows. We prove existence and uniqueness for the limit flow and, as a corollary, of the limit state. We introduce the notion of a potential attractor and study networks with one and several attractors. We show that in networks with several potential attractors, in case of large resources the limit state depends on the initial state.


Remote Control Limit State Time Moment Resource Network Potential Attractor 
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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • L. Yu. Zhilyakova
    • 1
  1. 1.Trapeznikov Institute of Control SciencesRussian Academy of SciencesMoscowRussia

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