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Avtomatika i Telemekhanika, 1975, Issue 6, Pages 5–13 (Mi at7896)  
Deterministic Systems

Structural properties of a Hamiltonian system in a periodic optimization problem

S. Bittantia, K. Maffetstsoni

a Milan, Italy
Full-text PDF (1956 kB)
Abstract: This paper shows that, under suitable regularity assumptions, the autonomous Hamiltonian system relative to a periodic optimization problem admits infinitely many periodic solutions with different periods. The result is achieved by means of a local analysis around an optimal solution of the considered optimization problem.

Received: 09.07.1973
Bibliographic databases:
Document Type: Article
UDC: 62-50, 519.21
Language: Russian
Citation: S. Bittanti, K. Maffetstsoni, “Structural properties of a Hamiltonian system in a periodic optimization problem”, Avtomat. i Telemekh., 1975, no. 6, 5–13; Autom. Remote Control, 36:6 (1975), 877–884
Citation in format AMSBIB
\Bibitem{BitMaf75}
\by S.~Bittanti, K.~Maffetstsoni
\paper Structural properties of a~Hamiltonian system in a~periodic optimization problem
\jour Avtomat. i Telemekh.
\yr 1975
\issue 6
\pages 5--13
\mathnet{http://mi.mathnet.ru/at7896}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=451151}
\zmath{https://zbmath.org/?q=an:0317.49003}
\transl
\jour Autom. Remote Control
\yr 1975
\vol 36
\issue 6
\pages 877--884
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