Feedback stabilization of the 3-D Navier-Stokes equations based on an extended system

IFIP International Federation for Information Processing

Volumn 202, Issue , 2006, Pages 13-24

  Badra, M ^a  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

Author keywords

Feedback stabilization; Navier stokes equation; Riccati equation

Indexed keywords

FEEDBACK; FEEDBACK CONTROL; LINEAR CONTROL SYSTEMS; RICCATI EQUATIONS; STABILIZATION; VISCOUS FLOW;

BOUNDARY CONTROLS; COMPATIBILITY CONDITIONS; DIRICHLET CONTROL; EXPONENTIAL STABILIZATION; FEEDBACK STABILIZATION; INITIAL CONDITIONS; LINEAR QUADRATIC CONTROL PROBLEM; STEADY-STATE FLOWS;

NAVIER STOKES EQUATIONS;

EID: 33750482582     PISSN: 15715736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/0-387-33882-9_2     Document Type: Conference Paper

References (6)

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3. E. Fernández-Cara, S. Guerrero, O. Yu. Imanuvilov, J.-P. Puel. Local exact controllability of the Navier-Stokes system, to appear in J. Math. Pitres et Appliquées.
4. G.P. Galdi. An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Vol. II., Nonlinear Steady Problems. Springer, New York, 1994.
5. A. Pazy. Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, New York, 1983.
6. J.-P. Raymond. Stokes and Navier-Stokes Equations with Nonhomogeneous Boundary Conditions, preprint, 2005.