- Tytuł:
- Controllability of evolution equations and inclusions driven by vector measures
- Autorzy:
- Ahmed, N.U.
- Powiązania:
- https://bibliotekanauki.pl/articles/729615.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
controlability
impulsive systems
differential inclusions
Hilbert spaces
vector valued measures
C₀ semigroups - Opis:
- In this paper, we consider the question of controllability of a class of linear and semilinear evolution equations on Hilbert space with measures as controls. We present necessary and sufficient conditions for weak and exact (strong) controllability of a linear system. Using this result we prove that exact controllability of the linear system implies exact controllability of a perturbed semilinear system. Controllability problem for the semilinear system is formulated as a fixed point problem on the space of vector measures and is concluded controllability from the existence of a fixed point. Our results cover impulsive controls as well as regular controls.
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2004, 24, 1; 49-72
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł