Uniform resource networks I. Complete graphs
Automation and Remote Control
Asymmetrical resource networks. I. Stabilization processes for low resources
Automation and Remote Control
Control of limit states in absorbing resource networks
Automation and Remote Control
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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.