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Wyszukujesz frazę "Infinite" wg kryterium: Temat


Wyświetlanie 1-5 z 5
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
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
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
Tytuł:
An infinite horizon predictive control algorithm based on multivariable input-output models
Autorzy:
Ławryńczuk, M.
Tatjewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/907410.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie predykcyjne
horyzont nieskończony
programowanie kwadratowe
model predictive control
stability
infinite horizon
singular value decomposition
quadratic programming
Opis:
In this paper an infinite horizon predictive control algorithm, for which closed loop stability is guaranteed, is developed in the framework of multivariable linear input-output models. The original infinite dimensional optimisation problem is transformed into a finite dimensional one with a penalty term. In the unconstrained case the stabilising control law, using a numerically reliable SVD decomposition, is derived as an analytical formula, calculated off-line. Considering constraints needs solving on-line a quadratic programming problem. Additionally, it is shown how free and forced responses can be calculated without the necessity of solving a matrix Diophantine equation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 2; 167-180
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Online learning algorithm for zero-sum games with integral reinforcement learning
Autorzy:
Vamvoudakis, K. G.
Vrabie, D.
Lewis, F. L.
Powiązania:
https://bibliotekanauki.pl/articles/91780.pdf
Data publikacji:
2011
Wydawca:
Społeczna Akademia Nauk w Łodzi. Polskie Towarzystwo Sieci Neuronowych
Tematy:
learning
online algorithm
zero-sum game
game
infinite horizon
Hamilton-Jacobi-Isaacs equation
approximation network
optimal value function
adaptive control tuning algorithm
Nash solution
Opis:
In this paper we introduce an online algorithm that uses integral reinforcement knowledge for learning the continuous-time zero sum game solution for nonlinear systems with infinite horizon costs and partial knowledge of the system dynamics. This algorithm is a data based approach to the solution of the Hamilton-Jacobi-Isaacs equation and it does not require explicit knowledge on the system’s drift dynamics. A novel adaptive control algorithm is given that is based on policy iteration and implemented using an actor/ disturbance/critic structure having three adaptive approximator structures. All three approximation networks are adapted simultaneously. A persistence of excitation condition is required to guarantee convergence of the critic to the actual optimal value function. Novel adaptive control tuning algorithms are given for critic, disturbance and actor networks. The convergence to the Nash solution of the game is proven, and stability of the system is also guaranteed. Simulation examples support the theoretical result.
Źródło:
Journal of Artificial Intelligence and Soft Computing Research; 2011, 1, 4; 315-332
2083-2567
2449-6499
Pojawia się w:
Journal of Artificial Intelligence and Soft Computing Research
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-5 z 5

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