Tracking control of a vibrating string with an interior mass viewed as delay system
ESAIM: Control, Optimisation and Calculus of Variations, Tome 3 (1998), pp. 315-321. 
@article{COCV_1998__3__315_0,
     author = {Mounier, H. and Rudolph, J. and Fliess, M. and Rouchon, P.},
     title = {Tracking control of a vibrating string with an interior mass viewed as delay system},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {315--321},
     publisher = {EDP-Sciences},
     volume = {3},
     year = {1998},
     mrnumber = {1644431},
     zbl = {0906.73046},
     language = {en},
     url = {http://www.numdam.org/item/COCV_1998__3__315_0/}
}
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Mounier, H.; Rudolph, J.; Fliess, M.; Rouchon, P. Tracking control of a vibrating string with an interior mass viewed as delay system. ESAIM: Control, Optimisation and Calculus of Variations, Tome 3 (1998), pp. 315-321. http://www.numdam.org/item/COCV_1998__3__315_0/

[1] K.L. Cooke, D.W. Krumme: Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations, J. Math. Anal. Appl., 24, 1968, 372-387. | MR | Zbl

[2] M. Fliess, J. Levine, P. Martin, P. Rouchon: Flatness and defect of nonlinear systems: introductory theory and examples, Internat. J. Control, 61, 1995, 1327-1361. | MR | Zbl

[3] M. Fliess, H. Mounier: Controllability and observability of linear delay systems: an algebraic approach, ESAIM: Control Optimisation and Calculus of Variations, http://www.emath.fr/cocv/, 3, 1998, 301-314. | EuDML | Numdam | MR | Zbl

[4] M. Fliess, H. Mounier, P. Rouchon, J. Rudolph: Controllability and motion planning for linear delay systems with an application to a flexible rod, In 34th Conf. Decision Contr. Proc., New Orleans, Lousiana, 1995, 2046-2051.

[5] M. Fliess, H. Mounier, P. Rouchon, J. Rudolph: Systèmes linéaires sur les opérateurs de Mikusiński, ESAIM: Proceedings, http://www.emath.fr/proc/, 2, 1997, 183-193. | MR | Zbl

[6] S. Hansen, E. Zuazua: Exact controllability and stabilization of a vibrating string with an interior point mass, SIAM J. Contr. Opt., 33, 1995, 1357-1391. | MR | Zbl

[7] J.L. Lions: Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, 1, Masson, Paris, 1988. | Zbl

[8] J.L. Lions: Exact controlability, stabilization and perturbations for distributed systems, SIAM Rev., 30, 1988, 1-68. | MR | Zbl

[9] H. Mounier: Propriétés structurelles des systèmes linéaires à retards: aspects théoriques et pratiques, Thèse, Université Paris-Sud, Orsay, 1995.

[10] H. Mounier: Algebraic interpretations of the spectral controllability of a linear delay system, Forum Math., 10, 1998, 39-58. | MR | Zbl

[11] H. Mounier, P. Rouchon, J. Rudolph: Some examples of linear systems with delay, RAIRO-APII-JESA, 31, 1997, 911-925.

[12] H. Mounier, J. Rudolph, M. Petitot, M. Fliess: A flexible rod as a linear delay system, In European Control Conference Proc., Rome, 1995, 3676-3681.

[13] D.L. Russel: Controllability and stabilizability theory for partial differential equations, recent progress and open question, SIAM Rev., 20, 1978, 639-739. | MR | Zbl