We study a transport equation in a network and control it in a single vertex. We describe all possible reachable states and prove a criterion of Kalman type for those vertices in which the problem is maximally controllable. The results are then applied to concrete networks to show the complexity of the problem.

Vertex control of flows in networks

ENGEL, KLAUS JOCHEN OTTO;
2008

Abstract

We study a transport equation in a network and control it in a single vertex. We describe all possible reachable states and prove a criterion of Kalman type for those vertices in which the problem is maximally controllable. The results are then applied to concrete networks to show the complexity of the problem.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/2744
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