SIAM Journal on Control and Optimization · 2002 · 173 citations · 3 references
Coupled SystemNetwork FlowsNetwork ScienceEngineeringGeometric FlowCivil EngineeringOpen CanalsHyperbolic Conservation LawGlobal Classical SolutionsNetwork AnalysisSystems EngineeringFlow Control (Data)Parabolic EquationNonlinear Hyperbolic ProblemHyperbolic EquationSt. Venant EquationsStability
In this paper, we present a model for the controlled flow of a fluid through a network of canals using a coupled system of St. Venant equations. We then generalize in a variety of ways recent results of Coron, d'Ándréa-Novel, and Bastin concerning the stabilizability around equilibrium of the flow through a single channel. This work is based on the theory of quasilinear hyperbolic systems and, in particular, on a delicate result of Li Ta-tsien concerning the existence and decay of global classical solutions.
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