 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| I. A. Mukhametzyanov, "Construction of a set of equations for controllers ensuring quasi-invariant stabilization of a prescribed motion of a pursuing body," Mech. Solids. 41 (3), 1-7 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
3 |
Pages |
1-7 |
| Title |
Construction of a set of equations for controllers ensuring quasi-invariant stabilization of a prescribed motion of a pursuing body |
| Author(s) |
I. A. Mukhametzyanov (Moscow) |
| Abstract |
A procedure is proposed for the construction of a set of equations governing
the controllers that stabilize a prescribed desired orientation of a pursuing
body moving according to the proportional navigation principle [1] or along the
pursuit curve for arbitrary values of random parameters in the expressions for
perturbations of a given class. |
| References |
| 1. | V. L. Kan and A. S. Kel'zon, Theory of Proportional Navigation [in Russian],
Sudostroenie, Leningrad, 1965. |
| 2. | V. S. Kulebakin, "Applicability of the absolute invariance principle
in physically realistic systems", Dokl. AN SSSR, Vol.60, No. 2., pp. 231-234,
1948. |
| 3. | B. N. Petrov, "On the implementation of invariance conditions," in
Invariance Theory and its Applications in Automatic Devices. Proceedings of the
Workshop, 1958, Kiev [in Russian], Izd-vo AN UkrSSR, Kiev, 1959, pp. 59-80. |
| 4. | G. M. Ulanov and V. A. Ptichkin, "Statistical optimization and the
theory of K(D)-representations," in Invariance Theory in Systems of
Automatic Control. Proceedings of the 2nd All-Union Conference [in Russian], Nauka,
Moscow, 1964, pp. 109-114. |
| 5. | I. A. Mukhametzyanov, "Invariance conditions and qualitative
stabilization of orientation of a pursuing body," Izv. RAN, MTT [Mechanics
of Solids], No. 4, pp. 36-42, 2003. |
| 6. | I. A. Mukhametzyanov, "Construction of a set of systems of
differential equations of stable motion according to a given program," Trudy
Univ. Druzhby Narodov, Teoreticheskaya Mekhanika, Izd-vo UDN, Moscow, 1963,
Vol. 1, pp. 52-55. |
| 7. | I. A. Mukhametzyanov, "Construction of equations for a desired motion,"
Avtomatika i Telemekhanika, No. 10, pp. 16-23, 1972. |
| 8. | O. N. Fomenko, "Quasi-invariant optimal systems of automatic control,"
Avtomatika i Telemekhanika, No. 2, pp. 145-148, 1970. |
|
| Received |
25 February 2004 |
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