Temat: Lipschitz condition - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Time-parametric control : uniform convergence of the optimal value functions of discretized problems
Autorzy:: Gugat, M.
Powiązania:: https://bibliotekanauki.pl/articles/206773.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: ciąg
dyskretyzacja
funkcja celu
optymalizacja parametryczna
profil momentu
systemy sterowania minimalno-czasowe
warunek Hoeldera
warunek Lipschitza
zbieżność jednakowa
continuity
discretization
Hoelder condition
Lipschitz condition
moment problems
optimal value function
parametric optimization
time-minimal control
uniform convergence
Opis:: The problem of time-optimal control of linear hyperbolic systems is equivalent to the computation of the root of the optimal value function of a time-parametric program, whose feasible set is described by a countable system of moment equations. To compute this root, discretized problems with a finite number of equality constraints can be used. In this paper, we show that on a certain time-interval, the optimal value functions of the discretized problems converge uniformly to the optimal value function of the original problem. We also give sufficient conditions fot Lipschitz and Hoelder continuity of the optimal value function of the original problem.
Źródło:: Control and Cybernetics; 1999, 28, 1; 7-33
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Hemivariational inequalities governed by the p-Laplacian - Neumann problem
Autorzy:: Naniewicz, Z.
Powiązania:: https://bibliotekanauki.pl/articles/970247.pdf
Data publikacji:: 2007
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: Neumann problem
noncoercive hemivariational inequality
unilateral growth condition
critical point theory
locally Lipschitz functional
Opis:: A hemivariational inequality involving p-Laplacian is studied under the hypothesis that the nonlinear part fulfills the unilateral growth condition. The existence of solutions for problems with Neumann boundary conditions is established by making use of Chang's version of the critical point theory for nonsmooth locally Lipschitz functionals, combined with the Galerkin method. The approach is based on the recession technique introduced previously by the author.
Źródło:: Control and Cybernetics; 2007, 36, 3; 727-754
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Hemivariational inequalities governed by the p-Laplacian -Dirichlet problem
Autorzy:: Naniewicz, Z.
Powiązania:: https://bibliotekanauki.pl/articles/970356.pdf
Data publikacji:: 2004
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: zagadnienie Dirichleta
nierówność hemiwariacyjna
jednostronny warunek wzrostu
teoria punktu krytycznego
Dirichlet problem
hemivariational inequality
unilateral growth condition
critical point theory
locally Lipschitz functional
Opis:: A hemivariational inequality involving p-Laplacian is studied under the hypothesis that the nonlinear part fulfills the unilateral growth condition (Naniewicz, 1994). The existence of solutions for problems with Dirichlet boundary conditions is established by making use of Chang's version of the critical point theory for non-smooth locally Lipschitz functionals (Chang, 1981), combined with the Galerkin method. A class of problems with nonlinear potentials fulfilling the classical growth hypothesis without Ainbrosetti-Rabinowitz type assumption is discussed. The approach is based on the recession technique introduced in Naniewicz (2003).
Źródło:: Control and Cybernetics; 2004, 33, 2; 181-210
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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