Abstract
We study, in the case of a point-controlled vibrating string, two real valued functions of a structural parameter which reflect, in some way, the degree of controllability of the system. These functions may be seen as realistic connections between non-robust binary notions of controllability and the continuous solutions of well-posed control problems. The classical controllability property may be characterized via a regularity argument : the system is controllable if and only if the considered functions are differentiable and non-controllability corresponds to cusp points with negative concavity.
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© 1994 Springer-Verlag
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Montseny, G., Benchimol, P., Plantie, L. (1994). Characterization of controllability via a regular function: Example of the vibrating string. In: Henry, J., Yvon, JP. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035515
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DOI: https://doi.org/10.1007/BFb0035515
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