Informacja

Drogi użytkowniku, aplikacja do prawidłowego działania wymaga obsługi JavaScript. Proszę włącz obsługę JavaScript w Twojej przeglądarce.

Wyszukujesz frazę "problem Bolza" wg kryterium: Temat


Wyświetlanie 1-6 z 6
Tytuł:
Theconjugate points sufficient conditions for an optimal control
Autorzy:
Szymanowska, A.
Powiązania:
https://bibliotekanauki.pl/articles/206818.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
pola ekstremali
problem Bolza
sterowanie optymalne
warunek wystarczający
field of extremals
generalized problem of Bolza
sufficient conditions
Opis:
The paper concerns an application of the idea of field theory and the concept of "concourse of flights" to the sufficient optimality conditions for the optimal control problems stated in terms of focal and conjugate points. The concept of concourse of flights was begun by Young (1969), and later extended by Nowakowski (1988). In the paper the definition of a focal and conjugate point of a field of extremals is given. Using these concepts, we prove that the existence of a field of extremals without conjugate points implies the existence of concourse of flights and consequently we obtain the second order sufficient conditions for the generalized problem of Bolza. Another approach to the concept of focal and conjugate points is given by Zeidan (1983, 1984).
Źródło:
Control and Cybernetics; 1998, 27, 3; 353-362
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Bolza optimal synthesis problem for singular estimate control systems
Autorzy:
Lasiecka, I.
Tuffaha, A.
Powiązania:
https://bibliotekanauki.pl/articles/970760.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Bolza problem
Riccati equation
singular estimate control systems
fluid-structure interaction
Opis:
Bolza problem governed by PDE control systems with unbounded controls is considered. The motivating example is fluid structure interaction model with boundary-interface controls. The aim of the work is to provide optimal feedback synthesis associated with well denned gain operator constructed from the Riccati equation. The dynamics considered is of mixed parabolic-hyperbolic type which prevents applicability of tools developed earlier for analytic semigroups. It is shown, however, that the control operator along with the generator of the semigroup under consideration satisfy singular estimate referred to as Revisited Singular Estimate (RSE). This estimate, which measures "unboundedness" of control actions, is a generalization and a weaker form of Singular Estimate (SE) treated in the past literature. The main result of the paper provides Riccati theory developed for this new class of control systems labeled as RSECS (Revisited Singular Estimate Control Systems). The important feature is that the gain operator, constructed via Riccati operator, is consistent with the optimal feedback synthesis. The gain operator, though unbounded, has a controlled algebraically singularity at the terminal point. This enables one to establish well-posedness of the Riccati solutions and of the optimal feedback representation. An application of the theoretical framework to boundary control of a fluid-structure interaction model is given.
Źródło:
Control and Cybernetics; 2009, 38, 4B; 1429-1460
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control problems with upper semicontinuous Hamiltonians
Autorzy:
Misztela, Arkadiusz
Powiązania:
https://bibliotekanauki.pl/articles/729281.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
Hamilton-Jacobi-Bellman equation
Bolza problem
viscosity solution
bilateral solution
monotonic approximation
semicontinuous Hamiltonian
Opis:
In this paper we give examples of value functions in Bolza problem that are not bilateral or viscosity solutions and an example of a smooth value function that is even not a classic solution (in particular, it can be neither the viscosity nor the bilateral solution) of Hamilton-Jacobi-Bellman equation with upper semicontinuous Hamiltonian. Good properties of value functions motivate us to introduce approximate solutions of equations with such type Hamiltonians. We show that the value function is the unique approximate solution.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2010, 30, 1; 71-99
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Algorithm for Construction of varepsilon-Value Functions for the Bolza Control Problem
Autorzy:
Jacewicz, E.
Powiązania:
https://bibliotekanauki.pl/articles/908335.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja nieliniowa
sterowanie optymalne
nonlinear optimization
Bolza problem
optimal control
Hamilton-Jacobi equation
dynamic programming
varepsilon-value function
approximate minimum
Opis:
The problem considered is that of approximate numerical minimisation of the non-linear control problem of Bolza. Starting from the classical dynamic programming method of Bellman, an varepsilon-value function is defined as an approximation for the value function being a solution to the Hamilton-Jacobi equation. The paper shows how an varepsilon-value function which maintains suitable properties analogous to the original Hamilton-Jacobi value function can be constructed using a stable numerical algorithm. The paper shows the numerical closeness of the approximate minimum to the infimum of the Bolza functional.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 391-428
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Method for Constructing ε-value Functions for The Bolza Problem of Optimal Control
Autorzy:
Pustelnik, J.
Powiązania:
https://bibliotekanauki.pl/articles/911140.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja nieliniowa
sterowanie optymalne
równanie Hamiltona-Jacobiego
programowanie dynamiczne
wartość funkcji
nonlinear optimization
Bolza problem
optimal control
Hamilton-Jacobi equation
dynamic programming
value function
approximate minimum
Opis:
The problem considered is that of approximate minimisation of the Bolza problem of optimal control. Starting from Bellman's method of dynamic programming, we define the ε-value function to be an approximation to the value function being a solution to the Hamilton-Jacobi equation. The paper shows an approach that can be used to construct an algorithm for calculating the values of an ε-value function at given points, thus approximating the respective values of the value function.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 177-186
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control problems for systems described by hemivariational inequalities
Autorzy:
Denkowski, Z.
Powiązania:
https://bibliotekanauki.pl/articles/206594.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
konwergencja G i Gamma
nierówność hemiwariacyjna
operator pseudo-monotoniczny
problem Boltza
wielofunkcja
wrażliwość
zagadnienie poprawnie postawione
zagadnienie sterowania
Clarke subdifferential
control problems (Bolza problem, identification of parameters, optimal shape design)
G and Gamma convergence
hemivariational inequalities
multifunctions
pseudo-monotone operators
sensitivity
well-posedness
Opis:
The paper considers some control problems for the systems described by the evolution, as well as the stationary hemivariational inequalities (HVIs for short). First, basing on surjectivity theorems for pseudo-monotone operators we formulate some existence results for the solutions of the HVIs and investigate some properties of the solution set (like sensitivity; i.e. its dependence on data and operators). Next we quote some existence theorems for optimal solutions for various classes of optimal control like distributed control (e.g. Bolza problem), identification of parameters, or optimal shape design for systems described by HVIs. Finally, we discuss some common features in getting the existence of optimal solutions as well as some "well-posedness" problems.
Źródło:
Control and Cybernetics; 2002, 31, 3; 713-738
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-6 z 6

    Ta witryna wykorzystuje pliki cookies do przechowywania informacji na Twoim komputerze. Pliki cookies stosujemy w celu świadczenia usług na najwyższym poziomie, w tym w sposób dostosowany do indywidualnych potrzeb. Korzystanie z witryny bez zmiany ustawień dotyczących cookies oznacza, że będą one zamieszczane w Twoim komputerze. W każdym momencie możesz dokonać zmiany ustawień dotyczących cookies