Temat: dual sufficient optimality conditions - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Dual sufficient optimality conditions for optimal control
Autorzy:: Młynarska, E.
Powiązania:: https://bibliotekanauki.pl/articles/205961.pdf
Data publikacji:: 2001
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: minimum względne
nierówność podwójna Hamiltona-Jacobiego
zagadnienie sterowania optymalnego
dual Hamilton-Jacobi inequality
dual sufficient optimality conditions
optimal control problem
relative minimum
Opis:: In this paper we develop the first and second order dual sufficient optimality conditions for a nonlinear optimal control problem. Our conditions are derived from the dual Hamilton-Jacobi approach applied to the generalized problem of Bolza. We do not require neither any convexity on the data, nor that the control set U be polyhedral, nor that the control function be in the interior of U. Instead, we assume the existence of a function which satisfies a certain inequality.
Źródło:: Control and Cybernetics; 2001, 30, 1; 45-54
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Shape optimization of control problems described by wave equations
Autorzy:: Nowakowski, A.
Powiązania:: https://bibliotekanauki.pl/articles/970316.pdf
Data publikacji:: 2008
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sufficient optimality conditions
control with wave equation
shape optimization
dual dynamic programming
Opis:: The control problem with multidimensional integral functional under wave type constraints for control is considered. Next a type of deformation with control of the domain is described and then we define suitable shape functional. Having denned trajectory and control of deformation dual dynamic programming tools are applied to derive optimality condition for the shape functional with respect to that deformation.
Źródło:: Control and Cybernetics; 2008, 37, 4; 1045-1055
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: On localizing global Pareto solutions in a given convex set
Autorzy:: Drwalewska, Agnieszka
Gajek, Lesław
Powiązania:: https://bibliotekanauki.pl/articles/1338686.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: sufficient and necessary conditions for optimality
Pareto optimal solutions
dual cones
feasible directions
Opis:: Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing with respect to the cone generating the preference relation.
Źródło:: Applicationes Mathematicae; 1999, 26, 4; 383-394
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Analysis of pandemic with game methodology and numerical approximation
Autorzy:: Matusik, Radosław
Nowakowski, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/29432416.pdf
Data publikacji:: 2023
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:: COVID-19
game model of pandemic
approximate dual dynamic programming
sufficient approximate optimality conditions for Nash equilibrium
numerical algorithm
Opis:: We build a mathematical game model of pandemic transmission, including vaccinations of population and budget costs of different acting to eliminate pandemic. We assume the interactions among different groups: vaccinated, susceptible, exposed, infectious, super-spreaders, hospitalized and fatality, defining a system of ordinary differential equations, which describes compartment model of disease and costs of the treatment. The goal of the game is to describe the development disease under different types of treatment, but including costs of them and social restrictions, during the shortest time period. To this effect we construct a dual dynamic programming method to describe open-loop Nash equilibrium for treatment, a group of people having antibodies and budget costs. Next, we calculate numerically an approximate open-loop Nash equilibrium.
Źródło:: Archives of Control Sciences; 2023, 33, 3; 651--680
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja