Wszystkie pola: semilinear - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Optimality properties of controls with bang-bang components in problems with semilinear state equation
Autorzy:: Felgenhauer, U.
Powiązania:: https://bibliotekanauki.pl/articles/970553.pdf
Data publikacji:: 2005
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: warunki optymalności
równanie Riccatiego
sterowanie przekaźnikowe
czułość
optimality conditions
Riccati equation
bang-bang control
switching points optimization
sensitivity
Opis:: In this paper we study optimal control problems with bang-bang solution behavior for a special class of semilinear dynamics. Generalizing a former result for linear systems, optimlity conditions are derived by a duality based approach. The results apply for scalar as well as for vector control functions and, in particular, for the case of the so-called multiple switches, too. Further, an iterative procedure for determining switching points is proposed, and convergence results are provided.
Źródło:: Control and Cybernetics; 2005, 34, 3; 763-785
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Skocz do pozycji: 2.

Tytuł:: Optimality and sensitivity for semilinear bang-bang type optimal control problems
Autorzy:: Felgenhauer, U.
Powiązania:: https://bibliotekanauki.pl/articles/907953.pdf
Data publikacji:: 2004
Wydawca:: Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:: sterowanie optymalne
struktura roztworu
warunki optymalności
bang-bang control
optimality conditions
sensitivity differentials
solution structure
stability in optimal control
strong local optima
Opis:: In optimal control problems with quadratic terminal cost functionals and systems dynamics linear with respect to control, the solution often has a bang-bang character. Our aim is to investigate structural solution stability when the problem data are subject to perturbations. Throughout the paper, we assume that the problem has a (possibly local) optimum such that the control is piecewise constant and almost everywhere takes extremal values. The points of discontinuity are the switching points. In particular, we will exclude the so-called singular control arcs, see Assumptions 1 and 2, Section 2. It is known from the results by Agrachev et al. (2002) stating that regularity assumptions, together with a certain strict second-order condition for the optimization problem formulated in switching points, are sufficient for strong local optimality of a state-control solution pair. This finite-dimensional problem is analyzed in Section 3 and optimality conditions are formulated (Lemma 2). Using well-known results concerning solution sensitivity for mathematical programs in Rn (Fiacco, 1983) one may further conclude that, under parameter changes in the problem data, the switching points will change Lipschitz continuously. The last section completes these qualitative statements by calculating sensitivity differentials (Theorem 2, Lemma 6). The method requires a simultaneous solution of certain linearized multipoint boundary value problems.
Źródło:: International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 447-454
1641-876X
2083-8492
Pojawia się w:: International Journal of Applied Mathematics and Computer Science
Dostawca treści:: Biblioteka Nauki

Artykuł

Zmień widok

na półce

Informacja

Wyszukujesz frazę "semilinear" wg kryterium: Wszystkie pola

Źródło danych

Dostawca treści

Kolekcja

Rok wydania

Wydawca

Temat

Autor

Typ dokumentu

Język