Tracking control of a vibrating string with an interior mass viewed as delay system
H. Mounier, J. Rudolph, M. Fliess, P. Rouchon (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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H. Mounier, J. Rudolph, M. Fliess, P. Rouchon (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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Michel Fliess, Hugues Mounier (2001)
Kybernetika
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We study the tracking control of linear delay systems. It is based on an algebraic property named -freeness, which extends Kalman’s finite dimensional linear controllability and bears some similarity with finite dimensional nonlinear flat systems. Several examples illustrate the practical relevance of the notion.
Saint Jean Paulin, Jeannine, Vanninathan, M. (1994)
Portugaliae Mathematica
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Bopeng Rao (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.
K. Beauchard, E. Zuazua (2009)
Annales de l'I.H.P. Analyse non linéaire
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Weijiu Liu (1998)
ESAIM: Control, Optimisation and Calculus of Variations
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