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Dynamically linearizable control systems and coverings
# 09, September 2013
DOI: 10.7463/0913.0601455
author: V.N. Chetverikov
References 1. Charlet B., L’evine J., Marino R. On dynamic feedback linearization. Syst. Contr. Lett., 1989, vol. 13, pp. 143-151. http://dx.doi.org/10.1016/0167-6911(89)90031-5 | | 2. Fliess M., L’evine J., Martin Ph., Rouchon P. Sur les syst`emes non lin’eaires diff’erentiellement plats. C.R. Acad. Sci. Paris. S’erie I, 1992, vol. 315, pp. 619-624. | | 3. Fliess M., L´evine J., Martin Ph., Rouchon P. A Lie–Backlund approach to equivalence and flatness of nonlinear systems. IEEE Trans. Automat. Control., 1999, vol. 44, no. 5, pp. 922-937. http://dx.doi.org/10.1109/9.763209 | | 4. Martin Ph., Murray R., Rouchon P. Flat systems. Proc. of the 4th European Control Conf. Plenary lectures and Mini-courses, Brussels, 1997, pp. 211-264. | | | 5. Chetverikov V.N. Flat control systems and deformations of structures on diffieties. Forum Mathematicum,2004, vol. 16, no. 6, pp. 903-923. http://dx.doi.org/10.1515/form.2004.16.6.903 | | 6. Chetverikov V.N. Ploskostnost' dinamicheski linearizuemykh sistem [Flatness of dynamically linearizable systems]. Differentsial'nye uravneniya, 2004, vol. 40, no. 12, pp. 1665-1674. (English translation: Differential Equations, December 2004, vol. 40, iss. 12, pp. 1747-1756. DOI: 10.1007/s10625-005-0106-5 ). http://dx.doi.org/10.1007/s10625-005-0106-5 | | 7. Bocharov A.V., Verbovetskiy A.M., Vinogradov A.M., Duzhin S.V., Krasil'shchik I.S., Samokhin A.V., Torkhov Yu.N., Khor'kova N.G., Chetverikov V.N. Simmetrii i zakony sokhraneniya uravneniy matematicheskoy fiziki [Symmetries and laws of conservation of equations of mathematical physics]. Moscow, Faktorial, 2005. 474 p. | | 8. Chetverikov V.N. On the structure of integrable C–fields. Differential Geom. Appl., 1991, vol. 1, iss. 4, pp. 309-325. http://dx.doi.org/10.1016/0926-2245(91)90011-W | | 9. Chetverikov V.N. Liuvillevy sistemy i simmetrii [Liouville systems and symmetries]. Differentsial'nye uravneniya, 2012, vol. 48, no. 12, pp. 1672-1684. (English translation: Differential Equations, December 2012, vol. 48, iss. 12, pp. 1639-1651.). http://dx.doi.org/10.1134/S0012266112120099 |
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