Control norms for large control times
ESAIM: Control, Optimisation and Calculus of Variations, Tome 4 (1999), pp. 405-418 
@article{COCV_1999__4__405_0,
     author = {Ivanov, Sergei},
     title = {Control norms for large control times},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {405--418},
     year = {1999},
     publisher = {EDP Sciences},
     volume = {4},
     mrnumber = {1693908},
     zbl = {1060.93504},
     language = {en},
     url = {https://www.numdam.org/item/COCV_1999__4__405_0/}
}
TY  - JOUR
AU  - Ivanov, Sergei
TI  - Control norms for large control times
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 1999
SP  - 405
EP  - 418
VL  - 4
PB  - EDP Sciences
UR  - https://www.numdam.org/item/COCV_1999__4__405_0/
LA  - en
ID  - COCV_1999__4__405_0
ER  - 
%0 Journal Article
%A Ivanov, Sergei
%T Control norms for large control times
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 1999
%P 405-418
%V 4
%I EDP Sciences
%U https://www.numdam.org/item/COCV_1999__4__405_0/
%G en
%F COCV_1999__4__405_0
Ivanov, Sergei. Control norms for large control times. ESAIM: Control, Optimisation and Calculus of Variations, Tome 4 (1999), pp. 405-418. https://www.numdam.org/item/COCV_1999__4__405_0/

[1] M. Asch and G. Lebeau, Geometrical aspects of exact boundary controllability for the wave equation - a numerical study. ESAIM: Contr., Optim. Cal. Var. 3 ( 1998) 163-212. | Zbl | MR | Numdam

[2] S. Avdonin and S. Ivanov, Families of Exponentials. The Method od Moments in Controllability Problems for Distributed Parameter systemsCambridge University Press, N.Y. ( 1995). | Zbl | MR

[3] S.A. Avdonin, M.I. Belishev and S.A. Ivanov, Controllability in filled domain for the multidimensional wave equation with singular boundary control. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 210 ( 1994) 7-21. | Zbl | MR

[4] S.A. Avdonin, S.A. Ivanov and D.L. Russell, Exponential bases in Sobolev spaces in control and observation problems for the wave equation. Proc. Roy. Soc. Edinburgh (to be submitted). | Zbl

[5] C. Bardos, G. Lebeau and J. Rauch, Sharp sufficient conditions for the observation, control and stabilization of waves from the boundary. SIAM J. Control Theor. Appl. 30 ( 1992) 1024-1095. | Zbl | MR

[6] H.O. Fattorini, Estimates for sequences biorthogonal to certain complex exponentials and boundary control of the wave equation, Springer, Lecture Notes in Control and Information Sciences 2 ( 1979). | Zbl | MR

[7] R. Glowinski, C.-H. Li and J.-L. Lions, A numerical approach to the exact controllability of the wave equation. (I) Dirichlet controls: description of the numerical methods. Japan J. Appl. Math. 7 ( 1990) 1-76. | Zbl | MR

[8] F. Gozzi and P. Loreti, Regularity of the minimum time function and minimum energy problems: the linear case. SIAM J. Control Optim. (to appear). | Zbl | MR

[9] W. Krabs, On Moment Theory and Controllability of one-dimensional vibrating Systems and Heating Processes, Springer, Lecture Notes in Control and Information Sciences 173 ( 1992). | Zbl | MR

[10] W. Krabs, G. Leugering and T. Seidman, On boundary controllability of a vibrating plate. Appl. Math. Optim. 13 ( 1985) 205-229. | Zbl | MR

[11] I. Lasiecka, J.-L. Lions and R. Triggiani, Nonhomogeneous boundary value problems for second order hyperbolic operators. J. Math. Pures Appl. 65 ( 1986) 149-192. | Zbl | MR

[12] J.-L. Lions, Contrôviabilité exacte, stabilisation et perturbation des systèmes distribués, Masson, Paris Collection RMA 1 ( 1988).

[13] N.K. Nikol'Skiĭ, A Treatise on the Shift Operator, Springer, Berlin ( 1986). | MR

[14] D.L. Russell, Controllability and stabilizability theory for linear partial differential equations: Recent progress and open questions. SIAM Rev. 20 ( 1978) 639-739. | Zbl | MR

[15] T.I. Seidman, The coefficient map for certain exponential sums. Nederl. Akad. Wetensch. Proc. Ser. A 89 (= Indag. Math. 48) ( 1986) 463-468. | Zbl | MR

[16] T.I. Seidman, S.A. Avdonin and S.A. Ivanov, The "window problem" for complex exponentials. Fourier Analysis and Applications (to appear). | Zbl

[17] D. Tataru, Unique continuation for solutions of PDE's; between Hörmander's theorem and Holmgren's theorem. Comm. PDE 20 ( 1995) 855-884. | Zbl | MR