Abstract
This paper is concerned with distributed null-control of vibrations governed by an abstract wave equation. Based on a method for the exact computation of minimumL 2-norm controls for given time intervals and time-minimal controls which are bounded with respect to theL 2-norm, an approximation method is developed which is based on Galerkin's method ana convergence results are derived.
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References
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This paper is based on U. Lamp's doctoral dissertation and was supported by the Deutsche Forschungsgemeinschaft.
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Krabs, W., Lamp, U. On the approximate calculation of time-minimal distributed controls of vibrations by finite element approximations. Appl Math Optim 27, 179–190 (1993). https://doi.org/10.1007/BF01195981
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DOI: https://doi.org/10.1007/BF01195981
Key words
- Time-minimal distributed control
- Vibrations
- Finite element approximation
- Galerkin's method
- Least norm controls