Interior point control and observation for the wave equation.
Khapalov, A.Y. (1996)
Abstract and Applied Analysis
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Khapalov, A.Y. (1996)
Abstract and Applied Analysis
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Thomas Chambrion, Paolo Mason, Mario Sigalotti, Ugo Boscain (2009)
Annales de l'I.H.P. Analyse non linéaire
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Jun-Min Wang, Bao-Zhu Guo, Boumediène Chentouf (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we consider the boundary stabilization of a sandwich beam which consists of two outer stiff layers and a compliant middle layer. Using Riesz basis approach, we show that there is a sequence of generalized eigenfunctions, which forms a Riesz basis in the state space. As a consequence, the spectrum-determined growth condition as well as the exponential stability of the closed-loop system are concluded. Finally, the well-posedness and regularity in the sense of Salamon-Weiss...
Zuyev, Alexander, Sawodny, Oliver (2007)
Mathematical Problems in Engineering
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Reinhard Illner, Horst Lange, Holger Teismann (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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We give the definitions of exact and approximate controllability for linear and nonlinear Schrödinger equations, review fundamental criteria for controllability and revisit a classical “No-go” result for evolution equations due to Ball, Marsden and Slemrod. In Section 2 we prove corresponding results on non-controllability for the linear Schrödinger equation and distributed additive control, and we show that the Hartree equation of quantum chemistry with bilinear control is...
Paola Loreti (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We prove an exact controllability result for thin cups using the Fourier method and recent improvements of Ingham type theorems, given in a previous paper [2].