Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: evolution inclusion

Sortuj według:

Ogranicz wyniki do:

Control and optimization of abstract continuous time evolution inclusions

Mokhtar-Kharroubi Hocine

Control and Cybernetics

2023

Vol. 52, No. 1

5--34

Abstract controlled evolution inclusions are revisited in the Banach spaces setting. The existence of solution is established for each selected control. Then, the input–output (or, control-states) multimap is examined and the Lipschitz continuous well posedness is derived. The optimal control of such inclusions handled in terms of a Bolza problem is investigated by means of the so-called PF format of optimization. A strong duality is provided, the existence of an optimal pair is given and the system of optimalty is derived. A Fenchel duality is built and applied to optimal control of convex process of evolution. Finally, it will be shown how the general theory we provided can be applied to a wide class of controled integrodifferental inclusions.

Existence and controllability results for nonlinear differential inclusions with nonlocal conditions in Banach spaces

Benchohra M., Ntouyas S. K.

Journal of Applied Analysis

2002

Vol. 8, nr 1

33-48

In this paper we investigate the existence and controllability of mild solutions to the first order semilinear evolution inclusions in Banach spaces with nonlocal conditions. We shall rely of a fixed point theorem for condensing maps due to Martelli.