Temat: turnpike property - 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

Zmień widok

na półce

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

Zmień widok

na półce

Skocz do pozycji: 3.

Tytuł:: Optimal control problems without terminal constraints: The turnpike property with interior decay
Autorzy:: Gugat, Martin
Lazar, Martin
Powiązania:: https://bibliotekanauki.pl/articles/24200685.pdf
Data publikacji:: 2023
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: optimal control
turnpike property
system with hyperbolic PDEs
interior decay
sterowanie optymalne
układ hiperboliczny
rozkład wewnętrzny
Opis:: We show a turnpike result for problems of optimal control with possibly nonlinear systems as well as pointwise-in-time state and control constraints. The objective functional is of integral type and contains a tracking term which penalizes the distance to a desired steady state. In the optimal control problem, only the initial state is prescribed. We assume that a cheap control condition holds that yields a bound for the optimal value of our optimal control problem in terms of the initial data. We show that the solutions to the optimal control problems on the time intervals [0, T] have a turnpike structure in the following sense: For large T the contribution to the objective functional that comes from the subinterval [T/2, T], i.e., from the second half of the time interval [0, T], is at most of the order 1/T. More generally, the result holds for subintervals of the form [r T,T], where r ∈ (0, 1/2) is a real number. Using this result inductively implies that the decay of the integral on such a subinterval in the objective function is faster than the reciprocal value of a power series in T with positive coefficients. Accordingly, the contribution to the objective value from the final part of the time interval decays rapidly with a growing time horizon. At the end of the paper we present examples for optimal control problems where our results are applicable.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2023, 33, 3; 429--438
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Skocz do pozycji: 4.

Tytuł:: Structure of solutions of nonautonomous optimal control problems in metric spaces
Autorzy:: Zaslavski, A. J.
Powiązania:: https://bibliotekanauki.pl/articles/357858.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: compact metric space
infinite horizon problem
optimization
turnpike property
przestrzeń metryczna
horyzont nieskończony
optymalizacja
sterowanie optymalne
Opis:: We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics.
Źródło:: Journal of Mathematics and Applications; 2015, 38; 151-169
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Informacja

Wyszukujesz frazę "turnpike property" wg kryterium: Temat

Źródło danych

Dostawca treści

Kolekcja

Rok wydania

Wydawca

Temat

Autor

Typ dokumentu

Język