Pointwise controllability as limit of internal controllability for the one dimensional Euler–Bernoulli equation
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This paper is devoted to prove the pointwise controllability of the Euler–Bernoulli beam equation. It is obtained as a limit of internal controllability of the same type of equation. Our approach is based on the techniques used in Fabre and Puel (Port Math 51:335–350, 1994).
KeywordsBeam equation Internal control Exact controllability Pointwise control
Mathematics Subject Classification93B07 93B05 93C20 35A15
- 6.Haraux, A.: On a completion problem in the theory of distributed control of wave equations, Nonlinear partial differential equations and their applications. Collège de France Seminar, vol. 5, Paris, pp. 241-271 (1987–1988)Google Scholar
- 13.Tucsnak, M., Weiss, G.: Observation and control for operator semigroups, Birkhäuser Advanced Texts. Birkhäuser, Basler Lehrbücher (2009)Google Scholar