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Bauman Moscow State Technical University.   El № FS 77 - 48211.   ISSN 1994-0408

A method for solving terminal control problems for affine systems

# 11, November 2013
DOI: 10.7463/1113.0622543
Article file: Fts1311.pdf (421.44Kb)
author: D.A. Fetisov

References

1.         Krasnoshchechenko V.I., Krishchenko A.P. Nelineinye sistemy: geometricheskie metody analiza i sinteza [Nonlinear systems: geometric methods of analysis and synthesis]. Moscow, Bauman MSTU Publ., 2005. 520 p.

2.         Elkin V.I. Reduktsiya nelineynykh upravlyaemykh sistem: differentsial'no-geometricheskiy podkhod [Reduction of nonlinear control systems: differential-geometrical approach]. Moscow, Nauka, 1997. 320 p.

3.         Zhevnin A.A., Krishchenko A.P. Upravliaemost' nelineinykh sistem i sintez algoritmov upravleniia [Controllability of nonlinear systems and synthesis of control algorithms]. Doklady AN SSSR [Reports of Academy of Sciences of the USSR], 1981, vol. 258, no. 4, pp. 805-809.

4.         Krishchenko A.P., Klinkovskii M.G. Preobrazovanie affinnykh sistem s upravleniem i zadacha stabilizatsii [The transformation of affine systems with control and stabilization problem]. Differentsial'nye uravneniia [Differential equations], 1992, vol. 28, no. 1, pp. 1945-1952.

5.         Fetisov D.A. Issledovanie upravliaemosti reguliarnykh sistem kvazikanonicheskogo vida [Study of controllability of regular systems of quasicanonical type]. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki [Herald of the Bauman MSTU. Ser. Natural science], 2006, no. 3, pp. 12-30.

6.         Emel'yanov S.V., Krishchenko A.P., Fetisov D.A. Issledovanie upravlyaemosti affinnykh sistem [Controllability research on affine systems]. Doklady Akademii Nauk, 2013, vol. 449, no. 1, pp. 15-18. (English Translation: Doklady Mathematics, 2013, vol. 87, iss. 2, pp. 245-248. DOI: 10.1134/S1064562413020026  ).

7.         Krishchenko A.P., Fetisov D.A. Preobrazovanie affinnykh sistem i reshenie zadach terminal'nogo upravleniya [Transformation of Affine Systems and Solving of Terminal Control Problems]. Vestnik MGTU im. N.E. Baumana. Ser. Estestvennye nauki [Herald of the Bauman MSTU. Ser. Natural science], 2013, no. 2, pp. 3-16.

8.         Krishchenko A.P., Fetisov D.A. Terminal'naya zadacha dlya mnogomernykh affinnykh sistem [Terminal problem for multidimensional affine systems]. Doklady Akademii Nauk, 2013, vol. 452, no. 2, pp. 144-149. (English Translation: Doklady Mathematics, 2013, vol. 88, iss. 2, pp. 608-612. DOI: 10.1134/S1064562413050098   ).

9.         Filippov A.F. Vvedenie v teoriiu differentsial'nykh uravnenii [Introduction to the theory of differential equations]. Moscow, Editorial URSS, 2004. 240 p.

10.       Hartman P. Ordinary differential equations. John Wiley & Sons, 1964. (Russ. ed.: Hartman P. Obyknovennye differentsial'nye uravneniia. Moscow, Nauka, 1970. 720 p.).

11.       Zorich V.A. Matematicheskiy analiz. Chast' 2 [Mathematical analysis. Part 2]. Moscow, MTsNMO Publ., 1998. 794 p.

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