Temat: infinite horizon - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Convergence of approximate solutions of variational problems
Autorzy:: Zaslavski, A. J.
Powiązania:: https://bibliotekanauki.pl/articles/970738.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: good function
infinite horizon
integrand
turnpike property
Opis:: We study the structure of approximate solutions of autonomous variational problems on large finite intervals. In our previous research, which was summarized in Zaslavski (2006b), we showed that approximate solutions are determined mainly by the integrand, and are essentially independent of the choice of time interval and data, except in regions close to the endpoints of the time interval. In the present paper we establish convergence of approximate solutions in regions close to the endpoints of the time intervals.
Źródło:: Control and Cybernetics; 2009, 38, 4B; 1607-1629
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Turnpike properties of approximate solutions of autonomous variational problems
Autorzy:: Zaslavski, A. J.
Powiązania:: https://bibliotekanauki.pl/articles/969609.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: good function
infinite horizon problem
integrand
turnpike property
Opis:: In this work we study the structure of approximate solutions of autonomous variational problems with vector-valued functions. We are interested in turnpike properties of these solutions, which are independent of the length of the interval, for all sufficiently large intervals. We show that the turnpike properties are stable under small perturbations of integrands.
Źródło:: Control and Cybernetics; 2008, 37, 2; 491-512
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On the lower semicontinuity of functionals involving Lebesgue or improper Riemann integrals in infinite horizon optimal control problems
Autorzy:: Pickenhain, S.
Lykina, V.
Wagner, M.
Powiązania:: https://bibliotekanauki.pl/articles/969619.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: optimal control
infinite horizon
weighted Sobolev spaces
lower semicontinuity
Lebesgue integral
improper Riemann integral
Opis:: This paper deals with infinite horizon optimal control problems, which are formulated in weighted Sobolev spaces ... [wzór] and weighted Lp-spaces ... [wzór]. We ask for the consequences of the interpretation of the integral within the objective as a Lebesgue or an improper Riemann integral. In order to justify the use of both types of integrals, various applications of infinite horizon problems are presented. We provide examples showing that lower semicontinuity may fail for objectives involving Lebesgue as well as improper Riemann integrals. Further we prove a lower semicontinuity theorem for an objective with Lebesgue integral under more restrictive growth conditions on the integrand.
Źródło:: Control and Cybernetics; 2008, 37, 2; 451-468
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Anoccupational measure solution to a singularly perturbed optimal control problem
Autorzy:: Artstein, Z.
Powiązania:: https://bibliotekanauki.pl/articles/206805.pdf
Data publikacji:: 2002
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: horyzont nieskończony
perturbacja singularna
sterowanie optymalne
infinite horizon
limit occupational measures
optimal control
singular perturbations
Opis:: Employing limit occupational measures, we provide an explicit solution to a singularly perturbed optimal control problem for which the order reduction method does not apply.
Źródło:: Control and Cybernetics; 2002, 31, 3; 623-642
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Hamiltonian trajectories and saddle points in mathematical economics
Autorzy:: Rockafellar, R. T.
Powiązania:: https://bibliotekanauki.pl/articles/970735.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: infinite horizon optimal control
convex Lagrange problems
Hamiltonian saddle points
overtaking criteria
Ramsey's problem
economic growth
Opis:: Infinite-horizon problems of kinds that arise in macroeconomic applications present a challenge in optimal control which has only partially been met. Results from the theory of convex problems of Lagrange can be utilized, to some extent, the most interesting feature being that in these problems the analysis revolves about a rest point of the Hamiltonian, which is at the same time a saddle point of the Hamiltonian in the minimax sense. The prospect is that in this situation the Hamiltonian dynamical system exhibits saddle point behavior in the differential equation sense as well. Some results are provided in this direction and coordinated with notions of asymptotic optimization, which mathematical economists have worked with.
Źródło:: Control and Cybernetics; 2009, 38, 4B; 1575-1588
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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