Autor: Torres, A. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Quadratures of Pontryagin extremals for optimal control problems
Autorzy:: Rocha, E. A.
Torres, D. F.
Powiązania:: https://bibliotekanauki.pl/articles/969990.pdf
Data publikacji:: 2006
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: Noether's theorem
Kozlov-Kolesnikov integrability
integrability by quadratures
optimal control
Opis:: We obtain a method to compute effective first integrals by combining Noether's principle with the Kozlov-Kolesnikov integrability theorem. A sufficient condition for the integrability by quadratures of optimal control problems with controls taking values on open sets is obtained. We illustrate our approach on some problems taken from the literature. An alternative proof of the integrability of the sub-Riemannian nilpotent Lie group of type (2,3,5) is also given.
Źródło:: Control and Cybernetics; 2006, 35, 4; 948-963
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Symbolic computation of variational symmetries in optimal control
Autorzy:: Gouveia, P. D.
Torres, D. F.
Rocha, E. A.
Powiązania:: https://bibliotekanauki.pl/articles/970020.pdf
Data publikacji:: 2006
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowanie optymalne
variational symmetries
gauge term
nonconservative forces
computer algebra systems
Noether's theorem
first integrals
optimal control
Opis:: We use a computer algebra system to compute, in an efficient way, optimal control variational symmetries up to a gauge term. The symmetries are then used to obtain families of Noether's first integrals, possibly in the presence of nonconservative external forces. As an application, we obtain eight independent first integrals for a sub-Riemannian nilpotent problem (2,3,5,8).
Źródło:: Control and Cybernetics; 2006, 35, 4; 831-849
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: A generalized fractional calculus of variations
Autorzy:: Odzijewicz, T.
Malinowska, A. B.
Torres, D. F. M.
Powiązania:: https://bibliotekanauki.pl/articles/205955.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: generalized fractional operators fractional variational analysis
Euler-Lagrange equations
natural boundary conditions
Noether's theorem
damped harmonic oscillator
Opis:: We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, transversality conditions for free boundary value problems, and a generalized Noether type theorem.
Źródło:: Control and Cybernetics; 2013, 42, 2; 443-458
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Optimal control for a steady state dead oil isotherm problem
Autorzy:: Sidi Ammi, M. R.
Malinowska, A. B.
Torres, D. F. M.
Powiązania:: https://bibliotekanauki.pl/articles/205514.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: dead oil isotherm problem
optimal control
existence and regularity of solutions
necessary optimality conditions
Opis:: We study the optimal control of a steady-state dead oil isotherm problem. The problem is described by a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of mechanics of a continuous medium. Existence and regularity results of the optima control are proved, as well as necessary optimality conditions.
Źródło:: Control and Cybernetics; 2013, 42, 2; 459-470
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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