Free access
Issue
ESAIM: COCV
Volume 7, 2002
Page(s) 269 - 283
DOI http://dx.doi.org/10.1051/cocv:2002011
Published online 15 September 2002
  1. S. Anita and V. Barbu, Null controllability of nonlinear convective heat equations. ESAIM: COCV 5 (2000) 157-173. [CrossRef] [EDP Sciences]
  2. A. Baciotti, Local Stabilizability of Nonlinear Control Systems. World Scientific, Singapore, Series on Advances in Mathematics and Applied Sciences 8 (1992).
  3. J.M. Ball and M. Slemrod, Feedback stabilization of semilinear control systems. Appl. Math. Opt. 5 (1979) 169-179. [CrossRef] [MathSciNet]
  4. J.M. Ball and M. Slemrod, Nonharmonic Fourier series and the stabilization of distributed semi-linear control systems. Comm. Pure. Appl. Math. 32 (1979) 555-587. [CrossRef] [MathSciNet]
  5. J.M. Ball, J.E. Mardsen and M. Slemrod, Controllability for distributed bilinear systems. SIAM J. Control Optim. (1982) 575-597.
  6. V. Barbu, Exact controllability of the superlinear heat equation. Appl. Math. Opt. 42 (2000) 73-89. [CrossRef] [MathSciNet]
  7. M.E. Bradley, S. Lenhart and J. Yong, Bilinear optimal control of the velocity term in a Kirchhoff plate equation. J. Math. Anal. Appl. 238 (1999) 451-467. [CrossRef] [MathSciNet]
  8. E. Fernández-Cara, Null controllability of the semilinear heat equation. ESAIM: COCV 2 (1997) 87-103. [CrossRef] [EDP Sciences] [MathSciNet]
  9. E. Fernández-Cara and E. Zuazua, Controllability for blowing up semilinear parabolic equations. C. R. Acad. Sci. Paris Sér. I Math. 330 (2000) 199-204.
  10. L.A. Fernández, Controllability of some semilnear parabolic problems with multiplicativee control, a talk presented at the Fifth SIAM Conference on Control and its applications, held in San Diego, July 11-14, 2001 (in preparation).
  11. A. Fursikov and O. Imanuvilov, Controllability of evolution equations. Res. Inst. Math., GARC, Seoul National University, Lecture Note Ser. 34 (1996).
  12. J. Henry, Étude de la contrôlabilité de certaines équations paraboliques non linéaires, Thèse d'état. Université Paris VI (1978).
  13. A.Y. Khapalov, Approximate controllability and its well-posedness for the semilinear reaction-diffusion equation with internal lumped controls. ESAIM: COCV 4 (1999) 83-98. [CrossRef] [EDP Sciences]
  14. A.Y. Khapalov, Global approximate controllability properties for the semilinear heat equation with superlinear term. Rev. Mat. Complut. 12 (1999) 511-535. [MathSciNet]
  15. A.Y. Khapalov, A class of globally controllable semilinear heat equations with superlinear terms. J. Math. Anal. Appl. 242 (2000) 271-283. [CrossRef] [MathSciNet]
  16. A.Y. Khapalov, Bilinear control for global controllability of the semilinear parabolic equations with superlinear terms, in the Special volume "Control of Nonlinear Distributed Parameter Systems'', dedicated to David Russell, Marcel Dekker, Vol. 218 (2001) 139-155.
  17. A.Y. Khapalov, On bilinear controllability of the parabolic equation with the reaction-diffusion term satisfying Newton's Law, in the special issue of the J. Comput. Appl. Math. dedicated to the memory of J.-L. Lions (to appear).
  18. A.Y. Khapalov, Controllability of the semilinear parabolic equation governed by a multiplicative control in the reaction term: A qualitative approach, Available as Tech. Rep. 01-7, Washington State University, Department of Mathematics (submitted).
  19. K. Kime, Simultaneous control of a rod equation and a simple Schrödinger equation. Systems Control Lett. 24 (1995) 301-306. [NASA ADS] [CrossRef] [EDP Sciences] [MathSciNet] [PubMed]
  20. O.H. Ladyzhenskaya, V.A. Solonikov and N.N. Ural'ceva, Linear and Quasi-linear Equations of Parabolic Type. AMS, Providence, Rhode Island (1968).
  21. S. Lenhart, Optimal control of convective-diffusive fluid problem. Math. Models Methods Appl. Sci. 5 (1995) 225-237. [CrossRef] [MathSciNet]
  22. S. Müller, Strong convergence and arbitrarily slow decay of energy for a class of bilinear control problems. J. Differential Equations 81 (1989) 50-67. [CrossRef] [MathSciNet]