Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblČelikovský, Sergej. Numerical algorithm for nonsmooth stabilization of triangular form systems. Kybernetika, Tome 32 (1996) no. 3, pp. 261-274. http://geodesic.mathdoc.fr/item/KYB_1996_32_3_a3/
@article{KYB_1996_32_3_a3,
author = {\v{C}elikovsk\'y, Sergej},
title = {Numerical algorithm for nonsmooth stabilization of triangular form systems},
journal = {Kybernetika},
pages = {261--274},
year = {1996},
volume = {32},
number = {3},
mrnumber = {1438219},
zbl = {0873.93074},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1996_32_3_a3/}
}
[1] D. Aeyels: Local and global controllability for nonlinear systems. Systems Control Lett. 5 (1984), 19-26. | MR | Zbl
[2] D. Aeyels: Stabilization of a class of nonlinear systems by a smooth feedback control. Systems Control Lett. 5 (1985), 289-294. | MR | Zbl
[3] P. Brunovský: A classification of linear controllable systems. Kybernetika 6 (1970), 173-180. | MR
[4] J. M. Coron L. Praly, A. Teel: Feedback stabilization of nonlinear systems: sufficient conditions and Lyapunov and input-output techniques. In: Trends in Control: A European Perspective (A. Isidori ed.), Springer-Verlag, London 1995, pp. 293-348. | MR
[5] S. Čelikovský: Topological linearization of nonlinear systems: Application to the nonsmooth stabilization. In: Proc. of the 2nd ECC'93, Groningen 1993, pp. 41-44.
[6] S. Čelikovský: Global linearization of nonlinear systems -- a survey. In: Geometry in Nonlinear Control and Differential Inclusions, Banach Center Publ. 32 (1995), 123-137. | MR
[7] S. Čelikovský: Topological equivalence and topological linearization of controlled dynamical systems. Kybernetika 31 (1995), 141-150. | MR
[8] S. Čelikovský: On the relation between nonsmooth linearization of continuous and discrete time systems. In: Proc. of the third ECC'95, Rome 1995, pp. 643-648.
[9] S. Čelikovský, H. Nijmeijer: Equivalence of nonlinear systems to triangular form: the singular case. Systems Control Lett. 27 (1996), 3, 135-144. | MR
[10] D. Claude: Everything you always wanted to know about linearization but were afraid to ask. In: Algebraic and Geometric Methods in Nonlinear Control Theory (M. Fliess and M. Hazenwinkel, eds.), Reidel, Dordrecht 1986, pp. 181-226. | MR | Zbl
[11] M. Fliess, F. Messager: Vers une stabilisation non lineaire discontinue. In: Anal. Optimiz. Syst. (A. Bensoussau and J. L. Lions, eds., Lecture Notes Control Information Sciences 144), Springer-Verlag, New York 1990, pp. 778-787. | Zbl
[12] B. Jakubczyk, W. Respondek: On linearization of control systems. Bull. Ac. Pol. Sci., Ser. Sci. Math. 28 (1980), 517-522. | MR | Zbl
[13] A. Isidori: Nonlinear Control Systems: An Introduction. Springer-Verlag, Berlin 1989. | MR
[14] R. R. Kadiyala: A tool box for approximate linearization of nonlinear systems. IEEE Control Systems Magazine 1993, 47-57.
[15] T. Kailath: Linear Systems. Prentice Hall, Englewood Cliffs, N.J. 1980. | MR | Zbl
[16] M. Kawski: Stabilization of nonlinear systems in the plane. Systems Control Lett. 12 (1989), 169-175. | MR | Zbl
[17] H. Nijmeijer, A. J. van der Schaft: Nonlinear Dynamical Control Systems. Springer-Verlag, Berlin 1990. | MR | Zbl
[18] C. Simoes H. Nijmeijer, J. Tsinias: Nonsmooth stabilizability and feedback linearization of discrete-time nonlinear systems. Memorandum No. 1190, University of Twente, Netherlands; Internat. J. Robust and Nonlinear Control, to appear. | MR
[19] E. D. Sontag: Feedback stabilization of nonlinear systems. In: Robust Control of Linear Systems and Nonlinear Control -- Proc. Internat. Symp. MTNS-89, Vol. II (M.A. Kaashoek, J. H. van Schuppen and A. C. M. Ran, eds.), Birkhäuser, Boston 1990, pp. 61-81. | MR | Zbl
[20] W. Respondek: Geometric methods in linearization of control systems. Banach Center Publ. 14 (1985), 453-467. | MR | Zbl
[21] W. Respondek: Global aspects of linearization, equivalence to polynomial forms and decomposition of nonlinear control systems. In: Algebraic and Geometric Methods in Nonlinear Control Theory (M. Fliess and M. Hazewinkel, eds.), Reidel, Dordrecht 1986, pp. 257-283. | MR | Zbl
[22] L. A. Zadeh, C. A. Desoer: Linear Systems Theory. McGraw-Hill, New York 1963.