Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 8, page 513-554
- ISSN: 1292-8119
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topCoron, Jean-Michel. "Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations." ESAIM: Control, Optimisation and Calculus of Variations 8 (2010): 513-554. <http://eudml.org/doc/90659>.
@article{Coron2010,
abstract = {
We consider a 1-D tank containing an inviscid incompressible
irrotational fluid. The tank is subject to the control which consists
of horizontal moves. We assume that the motion of the fluid
is well-described by the Saint–Venant equations (also
called the
shallow water equations).
We prove the local
controllability of this nonlinear control
system around any steady state.
As a corollary we get that one can move from any steady state to any
other steady state.
},
author = {Coron, Jean-Michel},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Controllability; hyperbolic systems; shallow water.; Saint-Venant equations},
language = {eng},
month = {3},
pages = {513-554},
publisher = {EDP Sciences},
title = {Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations},
url = {http://eudml.org/doc/90659},
volume = {8},
year = {2010},
}
TY - JOUR
AU - Coron, Jean-Michel
TI - Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 8
SP - 513
EP - 554
AB -
We consider a 1-D tank containing an inviscid incompressible
irrotational fluid. The tank is subject to the control which consists
of horizontal moves. We assume that the motion of the fluid
is well-described by the Saint–Venant equations (also
called the
shallow water equations).
We prove the local
controllability of this nonlinear control
system around any steady state.
As a corollary we get that one can move from any steady state to any
other steady state.
LA - eng
KW - Controllability; hyperbolic systems; shallow water.; Saint-Venant equations
UR - http://eudml.org/doc/90659
ER -
References
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