|
[1]
|
C. Baiocchi, V. Komornik and P. Loreti, Ingham type theorems and applications to control theory, Boll. Un. Mat. Ital. Sez. B Artic. Ric. Mat. (8), 2 (1999), 33-63.
|
|
[2]
|
C. Baiocchi, V. Komornik and P. Loreti, Ingham-Beurling type theorems with weakened gap conditions, Acta Math. Hungar., 97 (2002), 55-95.
doi: 10.1023/A:1020806811956.
|
|
[3]
|
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.
doi: 10.1002/cpa.3160320405.
|
|
[4]
|
A. Beurling, Interpolation for an interval in $\mathbb R^1$, in The collected works of Arne Beurling. Vol. 2. Harmonic analysi (eds. L. Carleson, P. Malliavin, J. Neuberger and J. Wermer) Contemporary Mathematicians. Birkhäuser Boston, Inc., Boston, MA, 1989.
|
|
[5]
|
H. O. Fattorini and D. L. Russell, Uniform bounds on biorthogonal functions for real exponentials with an application to the control theory of parabolic equations, Quart. Appl. Math., 32 (1974/75), 45-69.
doi: 10.1090/qam/510972.
|
|
[6]
|
A. Haraux, Séries lacunaires et contrôle semi-interne des vibrations d'une plaque rectangulaire, J. Math. Pures Appl., 68 (1989), 457-465.
|
|
[7]
|
A. E. Ingham, Some trigonometrical inequalities with applications in the theory of series, Math. Z., 41 (1936), 367-379.
doi: 10.1007/BF01180426.
|
|
[8]
|
S. Jaffard, Contrôle interne exact des vibrations d'une plaque carrée, C. R. Acad. Sci. Paris Sér. I Math., 307 (1988), 759-762.
|
|
[9]
|
S. Jaffard, Contrôle interne exact des vibrations d'une plaque rectangulaire, Port. Math., 47 (1990), 423-429.
|
|
[10]
|
P. Jaming and K. Kellay, A dynamical system approach to Heisenberg Uniqueness Pairs, J. Analyse Math., 134 (2018), 273-301.
doi: 10.1007/s11854-018-0010-6.
|
|
[11]
|
J.-P. Kahane, Pseudo-périodicité et séries de Fourier lacunaires, Ann. Sci. Ecole Norm. Sup. (3), 79 (1962), 93-150.
doi: 10.24033/asens.1108.
|
|
[12]
|
A. Y. Khapalov, Exact observability of the time-varying hyperbolic equation with finitely many moving internal observations, SIAM J. Control Optim., 33 (1995), 1256-1269.
doi: 10.1137/S0363012992236218.
|
|
[13]
|
A. Y. Khapalov, Mobile Point Sensors and Actuators in the Controllability Theory of Partial Differential Equations, Springer, 2017.
doi: 10.1007/978-3-319-60414-5.
|
|
[14]
|
V. Komornik, On the exact internal controllability of a Petrowsky system, J. Math. Pures Appl. (9), 71 (1992), 331-342.
|
|
[15]
|
V. Komornik, Exact Controllability and Stabilization. The Multiplier Method, Collection RMA, vol. 36. Masson-John Wiley, Paris-Chicester, 1994.
|
|
[16]
|
V. Komornik and P. Loreti, Fourier Series in Control Theory, Springer-Verlag, New York, 2005.
|
|
[17]
|
V. Komornik and P. Loreti, Observability of rectangular membranes and plates on small sets, Evol. Equ. Control Theory, 3 (2014), 287-304.
doi: 10.3934/eect.2014.3.287.
|
|
[18]
|
V. Komornik and B. Miara, Cross-like internal observability of rectangular membranes, Evol. Equ. Control Theory, 3 (2014), 135-146.
doi: 10.3934/eect.2014.3.135.
|
|
[19]
|
W. Krabs, On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes, Lecture Notes in Control and Information Sciences, 173. Springer-Verlag, Berlin, 1992.
doi: 10.1007/BFb0039513.
|
|
[20]
|
D. L. Russell, Controllability and stabilizability theory for linear partial differential equations. Recent progress and open questions, SIAM Rev., 20 (1978), 639-739.
doi: 10.1137/1020095.
|
|
[21]
|
A. Szijártó and J. Heged'ús, Observation problems posed for the Klein-Gordon equation, Electron. J. Qual. Theory Differ. Equ., (2012), 13 pp.
doi: 10.14232/ejqtde.2012.1.7.
|
|
[22]
|
G. Tenenbaum and M. Tucsnak, Fast and strongly localized observation for the Schrödinger equation, Trans. Amer. Math. Soc., 361 (2009), 951-977.
doi: 10.1090/S0002-9947-08-04584-4.
|
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