Free Access
Volume 16, Number 4, October-December 2010
Page(s) 929 - 955
DOI https://doi.org/10.1051/cocv/2009028
Published online 31 July 2009
  1. M. Badra, Stabilisation par feedback et approximation des équations de Navier-Stokes. Ph.D. Thesis, Université Paul Sabatier, Toulouse, France (2006).
  2. M. Badra, Lyapunov function and local feedback boundary stabilization of the Navier-Stokes equations. SIAM J. Control. (to appear).
  3. S.C. Beeler, H.T. Tran and H.T. Banks, Feedback control methodologies for nonlinear systems. J. Optim. Theory Appl. 107 (2000) 1–33. [CrossRef] [MathSciNet]
  4. F. Ben Belgacem, H. El Fekik and J.-P. Raymond, A penalized Robin approach for solving a parabolic equation with non smooth Dirichlet boundary conditions. Asymptotic Anal. 34 (2003) 121–136.
  5. A. Bensoussan, G. Da Prato, M.C. Delfour and S.K. Mitter, Representation and Control of Infinite Dimensional Systems, Vol. 1. Birkhäuser (1992).
  6. A. Bensoussan, G. Da Prato, M.C. Delfour and S.K. Mitter, Representation and Control of Infinite Dimensional Systems, Vol. 2. Birkhäuser (1993).
  7. E. Fernandez-Cara, S. Guerrero, O. Yu. Imanuvilov and J.-P. Puel, Local exact controllability of the Navier-Stokes system. J. Math. Pures Appl. 83 (2004) 1501–1542. [CrossRef] [MathSciNet]
  8. E. Fernandez-Cara, M. Gonzalez-Burgos, S. Guerrero and J.-P. Puel, Exact controllability to the trajectories of the heat equation with Fourier boundary conditions: the semilinear case. ESAIM: COCV 12 (2006) 466–483 (electronic). [CrossRef] [EDP Sciences]
  9. G. Grubb and V.A. Solonnikov, Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods. Math. Scand. 69 (1991) 217–290. [MathSciNet]
  10. L. Hormander, Lectures on Nonlinear Hyperbolic Differential Equations. Springer (1997).
  11. M. Krstic, L. Magnis and R. Vazquez, Nonlinear stabilization of shock-like unstable equilibria in the viscous Burgers PDE. IEEE Trans. Automat. Contr. 53 (2008) 1678–1683. [CrossRef]
  12. I. Lasiecka and R. Triggiani, Control Theory for Partial Differential Equations, Vol. 1. Cambridge University Press (2000).
  13. A.J. Laub, A Schur method method for solving algebraic Riccati equations. IEEE Trans. Automat. Contr. 24 (1979) 913–921. [CrossRef] [MathSciNet]
  14. J.-L. Lions, Espaces d'interpolation et domaines de puissances fractionnaires d'opérateurs. J. Math. Soc. Japan 14 (1962) 233–241. [CrossRef] [MathSciNet]
  15. J.-L. Lions and E. Magenes, Problèmes aux limites non homogènes, Vol. 2. Dunod, Paris (1968).
  16. J.-P. Raymond, Boundary feedback stabilization of the two dimensional Navier-Stokes equations. SIAM J. Control Optim. 45 (2006) 790–828. [CrossRef] [MathSciNet]

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