References
- [1] Curtain, R. F., Pritchard, A. J., Infinite dimensional linear systems theory, Lecture Notes in Control and Information Sciences, vol. 8, Springer-Verlag, Berlin, 1978.10.1007/BFb0006761
- [2] Curtain, R. F., Weiss, G., Well posedness of triples of operators (in the sense of linear systems theory). Control and estimation of distributed parameter systems (Vorau, 1988), Internat. Ser. Numer. Math., vol.91, Birkhauser, Basel, 1989, pp. 41–59.
- [3] Curtain, R. F., Zwart, H., An introduction to infinite-dimensional linear systems theory, Texts in Applied Mathematics, voL. 21, Springer-Verlag, New York, 1995.10.1007/978-1-4612-4224-6
- [4] Davies, E. B., One-parameter semigroups, Academic Press, London, 1980.
- [5] Deguenon, J. Observateurs des Systemes Anti-Adjoints de Dimension Infinie et Application, These unique de doctorat, Universite de Metz, Metz, France, 2003.
- [6] Deguenon, A. J., Sallet, G., Xu, C. Z. 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.
- [7] Jacob, B., Partington J., Admissibility of Control and Observation Operators for Semigroups: A Survey. In: Ball J.A., Helton J.W., Klaus M., Rodman L. (eds) Current Trends in Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 149, Birkhuser, Basel, 2004.
- [8] El Jai, A., Pritchard, A.J. Capteurs et actionneurs dans l’analyse des systemes distribues, Masson, New York, 1986, 203 p.
- [9] Fuhrmann, P. A. Linear systems and operators in Hilbert space, McGraw-Hill International Book Co., New York, 1981.
- [10] Jurjevic, V., Quinn, J.P. Controlability and stability, Journal of Differential Equations, vol. 28, 1978, pp. 381–389.10.1016/0022-0396(78)90135-3
- [11] Pazy, A. Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, New York, 1983, 296 p.10.1007/978-1-4612-5561-1
- [12] Pritchard, A. J., D. Salamon, D., The linear quadratic control problem for infinite-dimensional systems with unbounded input and output operators, SIAM J. Control Optim., vol. 25(1), 1987, pp. 121–144.10.1137/0325009
- [13] Russell, D. L., Weiss, G., A general necessary condition for exact observability, SIAM J. Contr. Optim., vol. 32, 1994, pp. 1–2310.1137/S036301299119795X
- [14] Salamon, D., Control and observation of neutral systems, Research Notes in Mathematics, Pitman (Advanced Publishing Program), vol.91, Boston, MA, 1984.
- [15] Salamon, D., Infinite-dimensional linear systems with unbounded control and observation: a functional analytic approach, Trans. Amer. Math. Soc., vol. 300(2), 1987, pp. 383–431.10.2307/2000351
- [16] Salamon, D., Realization theory in Hilbert space, Math. Systems Theory, vol. 21, 1989, pp. 147–164.10.1007/BF02088011
- [17] Slemrod, M. A note on complete controllability and stabilizability for linear control systems in Hilbert spaces, SIAM J. Contr. Optim., vol. 12, 1974, pp. 500–508.10.1137/0312038
- [18] Weiss, G., The representation of regular linear systems on Hilbert spaces, Control and estimation of distributed parameter systems (Vorau, 1988), Internat. Ser. Numer. Math., vol.91, Birkhauser, Basel, 1989, pp. 367–378.
- [19] Weiss, G. Regular linear systems with feedback, Mathematics of Control, Signals, and Systems, vol. 7, 1994, pp. 23–57.10.1007/BF01211484
- [20] Weiss, G. Two conjectures on the admissibility of control operators, International Series of Numerical Mathematics, vol. 100, 1991, pp. 367–378.10.1007/978-3-0348-6418-3_26
- [21] Weiss, G., Curtain, F. Dynamic stabilization of regular linear systems, IEEE Transaction Automatic Control, 42, 1997, pp. 4–21.10.1109/9.553684
- [22] Weiss, G.,Curtain, R.F. Exponential stabilization of vibrating systems by collocated feedback, Proc. 7th IEEE Mediterranean Symposium on Control and Automation, June 28 - 30, 1999, Haifa, Israel, pp. 1705 – 1722.
- [23] Weiss, G., Curtain, R.F., Exponential stabilization of a Rayleigh beam using collocated control, IEEE Trans. Automatic Control, 53, issue 3, 2008, pp. 643 – 654.10.1109/TAC.2008.919849
- [24] Xu, C.Z. Contrôle des systemes hybrides, Polycopie du Cours de DEA, Institut de Mathématiques et de Sciences Physiques, Bénin, 1999.