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All issues Volume 17 / No 2 (April-June 2011) ESAIM: COCV, 17 2 (2011) 506-551 References
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Issue
ESAIM: COCV
Volume 17, Number 2, April-June 2011
Page(s) 506 - 551
DOI https://doi.org/10.1051/cocv/2010017
Published online 23 April 2010
  1. V. Barbu, I. Lasiecka and R. Triggiani, Extended algebraic Riccati equations in the abstract hyperbolic case. Nonlinear Anal. 40 (2000) 105–129. [CrossRef] [MathSciNet] [Google Scholar]
  2. A. Bensoussan, G. Da. Prato, M.C. Delfour and S.K. Mitter, Representation and Control of Infinite Dimensional Systems, Systems & Control: Fondations & Applications 2. Boston, Birkhäuser (1993). [Google Scholar]
  3. J.-M. Buchot, Stabilization of the laminar turbulent transition location, in Proceedings MTNS 2000, El Jaï Ed. (2000). [Google Scholar]
  4. J.-M. Buchot, Stabilisation et contrôle optimal des équations de Prandtl. Ph.D. Thesis, École supérieure d'Aéronautique et de l'Espace, Toulouse (2002). [Google Scholar]
  5. J.-M. Buchot and J.-P. Raymond, A linearized model for boundary layer equations, in International Series of Numerical Mathematics 139, Birkhäuser (2001) 31–42. [Google Scholar]
  6. J.-M. Buchot and J.-P. Raymond, A linearized Crocco equation. J. Math. Fluid Mech. 8 (2006) 510–541. [CrossRef] [MathSciNet] [Google Scholar]
  7. J.-M. Buchot and J.-P. Raymond, Feedback stabilization of a boundary layer equation – Part 2: Nonhomogeneous state equation and numerical experiments. Appl. Math. Res. eXpress (2010) doi:10.1093/amrx/abp007. [Google Scholar]
  8. R. Dautray and J.-L. Lions, Analyse mathématique et calcul numérique 4. Masson, Paris (1988). [Google Scholar]
  9. F. Flandoli, Algebric Riccati Equations arising in boundary control problems. SIAM J. Control Optim. 25 (1987) 612–636. [CrossRef] [MathSciNet] [Google Scholar]
  10. F. Flandoli, I. Lasiecka and R. Triggiani, Algebraic Riccati Equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems. Ann. Math. Pura Appl. 153 (1988) 307–382. [CrossRef] [Google Scholar]
  11. I. Lasiecka and R. Triggiani, Control theory for partial differential equations I, Abstract parabolic systems. Cambridge University Press, Cambridge (2000). [Google Scholar]
  12. I. Lasiecka and R. Triggiani, Optimal Control and Algebraic Riccati Equations under Singular Estimates for eAtB in the Abscence of Analycity, Part I: The stable case, in Lecture Notes in Pure in Applied Mathematics 225, Marcel Dekker (2002) 193–219. [Google Scholar]
  13. J.-L. Lions and E. Magenes, Problèmes aux limites non homogènes. Dunod, Paris (1968). [Google Scholar]
  14. O.A. Oleinik and V.N. Samokhin, Mathematical Models in Boundary Layer Theory, Applied Mathematics and Mathematical Computation 15. Chapman & Hall/CRC, Boca Raton, London, New York (1999). [Google Scholar]
  15. A.J. Pritchard and D. Salamon, The linear quadratic control of problem for infinite dimensional systems with unbounded input and output operators. SIAM J. Control Optim. 25 (1987) 121–144. [CrossRef] [MathSciNet] [Google Scholar]
  16. H. Triebel, Interpolation theory, Functions spaces, Differential operators. North Holland (1978). [Google Scholar]
  17. R. Triggiani, An optimal control problem with unbounded control operator and unbounded observation operator where Algebraic Riccati Equation is satisfied as a Lyapunov equation. Appl. Math. Letters 10 (1997) 95–102. [CrossRef] [Google Scholar]
  18. R. Triggiani, The Algebraic Riccati Equation with unbounded control operator: The abstract hyperbolic case revisited. Contemporary mathematics 209 (1997) 315–338. [Google Scholar]
  19. G. Weiss and H. Zwart, An example in LQ optimal control. Syst. Control Lett. 33 (1998) 339–349. [CrossRef] [Google Scholar]
  20. Z. Xin and L. Zhang, On the global existence of solutions to the Prandtl's system. Adv. Math. 181 (2004) 88–133. [CrossRef] [MathSciNet] [Google Scholar]
  21. J. Zabczyck, Mathematical Control Theory. Birkhäuser (1995). [Google Scholar]

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