About the impossibility of global stabilization of the Lagrange top

 
PIIS003282350002266-2-1
DOI10.31857/S003282350002266-2
Publication type Article
Status Published
Authors
Affiliation: Mathematical Institute. V.A. Steklov RAS
Address: Russian Federation
Journal namePrikladnaia matematika i mekhanika
EditionVolume 82 Issue 5
Pages599-604
Abstract

  

Keywords
AcknowledgmentThe work was prepared with the support of the Presidium of the Russian Academy of Sciences program number 01 "Fundamental mathematics and its applications" (grant PRAS-18-01).
Received15.12.2018
Publication date18.12.2018
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1. Krasovskij N.N. Nekotorye zadachi teorii ustojchivosti dvizheniya. M.: Gos. izd-vo fiz.-mat. lit., 1959. 211 c.

2. Reissig R., Sansone G., Conti R. Qualitative Theorie nichtlinearer Differentialgleichungen. Roma: Cremonese, 1963. 381 p.

3. Filippov A.F. Differentsial'nye uravneniya s razryvnoj pravoj chast'yu // Matem. sb. 1960. T. 51(93). № 1. S. 99–128.

4. Wazewski T. Sur un principe topologique de l'examen de l'allure asymptotique des integrales des equations differentielles ordinaires // Ann. Soc. Polon. Math. 1947. V. 20. P. 279–313.

5. Polekhin I. Forced oscillations of a massive point on a compact surface with a boundary // Nonlin. Analysis: Theory, Methods & Applic. 2015. V. 128. P. 100–105.

6. Polekhin I. On forced oscillations in groups of interacting nonlinear systems // Nonlin. Analysis: Theory, Methods & Applic. 2016. V. 135. P. 120–128.

7. Bolotin S.V., Kozlov V.V. Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney’s inverted pendulum problem // Izv. RAN. Math. 2015. V. 79. No. 5. P. 894–901.

8. Polekhin I. On topological obstructions to global stabilization of an inverted pendulum // Systems Control Lett. 2018. V. 113. P. 31–35.

9. Polekhin I. A topological view on forced oscillations and control of an inverted pendulum // Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2017. Lecture Notes in Comput. Sci. Cham: Springer. 2017. P. 329–335.

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