Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals

DOI10.1016/j.matpur.2012.06.004zbMath1264.35261OpenAlexW2060496933MaRDI QIDQ1935500

Qilong Gu, Ta-Tsien Li

Publication date: 18 February 2013

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2012.06.004

zbMATH Keywords

quasilinear hyperbolic systemsSaint-Venant system

Mathematics Subject Classification ID

Controllability (93B05) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for first-order hyperbolic systems (35L50) PDEs in connection with control and optimization (35Q93)

Related Items (14)

Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems and Its Asymptotic Stability ⋮ From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems ⋮ Global piecewise classical solutions to quasilinear hyperbolic systems on a tree-like network ⋮ Exact boundary controllability of partial nodal profile for network of strings ⋮ Output feedback stabilization of an underactuated cascade network of interconnected linear PDE systems using a backstepping approach ⋮ Fluvial to torrential phase transition in open canals ⋮ Simultaneous exact boundary controllability of final state and nodal profile for quasilinear hyperbolic systems ⋮ Exact boundary controllability of nodal profile for nonautonomous quasilinear hyperbolic systems ⋮ Asymptotic stability of the exact boundary controllability of nodal profile for quasilinear hyperbolic systems ⋮ Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps ⋮ Nodal profile control for networks of geometrically exact beams ⋮ Exact boundary controllability of nodal profile for quasilinear wave equations in a planar tree‐like network of strings ⋮ Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops ⋮ Erratum: flow control in gas networks: exact controllability to a given demand

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