Attachment observability of a rotating body-beam

[1] B. D’Andrea - Novel and J. M. Coron, Stabilization of a rotating body- beam without damping, IEEE Transaction Automatic Control, 43 (1998), no.5 , 608 - 618.Search in Google Scholar

[2] J. Bailleul and M. Levi, Rotational elastic dynamics, Physica D, 27 (1987), 43 - 62.10.1016/0167-2789(87)90004-2Search in Google Scholar

[3] A. Bensoussan, G. D. Prato, M. Delfour and S.K. Mitter, Representation and control of infinite-dimensional systems, Vol. I, Birkhauser, Boston, Inc., Boston, MA, 1992.10.1007/978-1-4612-2750-2Search in Google Scholar

[4] A.M. Bloch and E. S. Titi, On the dynamics of rotating elastic beams, Proceedings Conf. New Trends Syst. theory, Genoa, Italy, July 9-11, 1990, Conte, Perdon and Wyman (Eds.), Birkauser, Cambridge, 1990.Search in Google Scholar

[5] H. Brezis, Analyse fonctionnelle, theorie et applications, Masson, Paris, 1983.Search in Google Scholar

[6] B. Chentouf and J. F. Couchouron, Nonlinear feedback stabilization of a rotating body-beam system, ESAIM: Control, Optimization and Calculus of Variations, 4(1999), 515 - 535.10.1051/cocv:1999120Search in Google Scholar

[7] R. F. Curtain and H. Zwart, An introduction to Infinite-Dimensional Linear Systems Theory, Texts Applied Math. 21, Springer-Verlag, New York, 199510.1007/978-1-4612-4224-6Search in Google Scholar

[8] J. Deguenon, Observateurs des Systemes Anti-Adjoints de Dimension In- finie et Applications, These unique de doctorat, Universite de Metz - Metz, 2003.Search in Google Scholar

[9] A. J. Deguenon, G. Sallet and C. Z. Xu, A Luenberger observer for infinite dimensional skew-symmetric systems with application to an elastic beam, Proc. 2nd Int. Symp on Comm. Control and Signal, Marrakech, 2006.Search in Google Scholar

[10] A. J. Deguenon and A. Barbulescu, Theoretical Observers for Infinite Dimensional Skew-Symmetric Systems, 2012, submittedSearch in Google Scholar

[11] C.E. Hmelo-Silver, R. Jordan, L. Liu, S. Gray, M. Demeter, S. Ru- gaber, S. Vattam and S. Goel, Focusing on Function: Thinking be­low the Surface of Complex Natural Systems, 27- 35, <http://home.cc.gatech.edu/dil/uploads/Science-Scope-Paper.pdfSearch in Google Scholar

[12] A.E. Ingham, Some trigonometrical inequalities with applications to the theory of series, Math. Zeischrift, 41(1936), 367 - 379.10.1007/BF01180426Search in Google Scholar

[13] A. El Jai and A.J. Pritchard, Capteurs et actionneurs dans l’analyse des systemes distribues, Recherche en Mathematiques Appliquees, Masson, 1986.Search in Google Scholar

[14] H. Laousy, C.Z. Xu and G. Sallet, Boundary feedback stabilization of a rotating body-beam system, IEEE Transaction Automatic Control, 41 (1996), no.2, 241 - 245.Search in Google Scholar

[15] X.-D. Li, C.-Z. Xu, Y.-J. Peng and M. Tucsnak, On the numerical in­vestigation of a Luenberger type observer for infinite-dimensional vibrat­ing systems, Proceedings of the 17th World Congress, The International Federation of Automatic Control (IFAC), Seoul, Korea, July 6-11, 2008, 7264-7269.Search in Google Scholar

[16] L. Marsavina, A. D. Nurse, L. Braescu and E.M. Craciun, Stress singu­larity of symmetric free-edge joints with elasto-plastic behaviour, Comp. Mat. Sci., 52 (2012), No.1, 231-235.Search in Google Scholar

[17] A. Pazy, Semigroups of linear operators and applications to partial dif­ferential equations, Springer Verlag, New York, 1983.10.1007/978-1-4612-5561-1Search in Google Scholar

[18] T. W. Peterson, <http://esd.mit.edu/symp09/presentations/day1walkerlunch.peterson.pdf.Search in Google Scholar

[19] D. L. Russell and G. Weiss, A general necessary conditions for exact observability, SIAM J. Control and Optimizations, 32 (1994), no.1 , 1 - 23.Search in Google Scholar

[20] R. Selescu and A. Barbulescu, The bending of the nonprismatic bars, with constant section and the inertia moment variable periodic, Bull. Sci. Pitesti Univ., Mathematics and Informatics, 2 (1998), 209 - 222.Search in Google Scholar

[21] J. Weidmann, Linear Operators in Hilbert Spaces, Springer-Verlag, Berlin, 1980.10.1007/978-1-4612-6027-1Search in Google Scholar

[22] C. Z. Xu and J. Bailleul, Stabilizability and stabilization of a rotating body beam system with torque control, IEEE Transaction Automatic Control, 38 (1993), no.12 , 1754 - 1765. Search in Google Scholar