- Tytuł:
- Sequential optimization for semilinear divergent hyperbolic equation with a boundary control and state inequality constraint
- Autorzy:
-
Gavrilov, V. S.
Sumin, M. I. - Powiązania:
- https://bibliotekanauki.pl/articles/206311.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
Radon measures
sequential optimization
maximum principle for minimizing sequences
semilinear hyperbolic partial differential equations
pointwise in time state constraints
boundary control
value function
sensitivity
normality
regularity
twoparameter needle variation of controls - Opis:
- An optimal control problem with a state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind is considered. The state constraint contains a functional parameter that belongs to the class of continuous functions and occurs as an additive term. We study the properties of solutions of linear hyperbolic equations in divergence form with measures in the original data and compute the first variations of functionals on the basis of a so-called two-parameter needle variation of controls. We consider the necessary conditions for minimizing sequences in an optimal control problem with a pointwise in time state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind. For the parametric optimization problem, we also consider regularity and normality conditions stipulated by the differential properties of its value function.
- Źródło:
-
Control and Cybernetics; 2014, 43, 2; 183-226
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł