Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: relaxation theorem

Sortuj według:

Ogranicz wyniki do:

The solution set of a differential inclusionon a closed set of a Banach space

100%

Wen S.

Applicationes Mathematicae

1995-1996

tom 23

nr 1

13-23

We consider differential inclusions with state constraints in a Banach space and study the properties of their solution sets. We prove a relaxation theorem and we apply it to prove the well-posedness of an optimal control problem.

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

Representation of the set of mild solutions to the relaxed semilinear differential inclusion

88%

Benedetti I., Panasenko E.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2006

tom 26

nr 1

143-158

We study the relation between the solutions set to a perturbed semilinear differential inclusion with nonconvex and non-Lipschitz right-hand side in a Banach space and the solutions set to the relaxed problem corresponding to the original one. We find the conditions under which the set of solutions for the relaxed problem coincides with the intersection of closures (in the space of continuous functions) of sets of δ-solutions to the original problem.

Existence and density results for retarded subdifferential evolution inclusions

63%

Cardinali T., Pieri S.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1996

tom 16

nr 1

53-74

In this paper we study Cauchy problems for retarded evolution inclusions, where the Fréchet subdifferential of a function F:Ω→R∪{+∞} (Ω is an open subset of a real separable Hilbert space) having a φ-monotone subdifferential of oder two is present. First we establish the existence of extremal trajectories and we show that the set of these trajectories is dense in the solution set of the original convex problem for the norm topology of the Banach space C([-r, T₀], Ω) ("strong relaxation theorem"). Then we prove that this density result allows one to establish a nonlinear "bang-bang principle" for a class of control systems with dealy on a nonconvex constraint. We want to observe that the results here extend those of [11] and [13].

Ograniczanie wyników

2 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Applicationes Mathematicae

1 Benedetti I.

1 Cardinali T.

1 Panasenko E.

1 Pieri S.

1 Wen S.

1 2006

1 1996

1 1995

Wyniki wyszukiwania

The solution set of a differential inclusionon a closed set of a Banach space

Representation of the set of mild solutions to the relaxed semilinear differential inclusion

Existence and density results for retarded subdifferential evolution inclusions