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Controllability of evolution equations and inclusions driven by vector measures

100%

Ahmed N. U.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2004

tom 24

nr 1

49-72

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.

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1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Ahmed N. U.

1 2004

Wyniki wyszukiwania

Controllability of evolution equations and inclusions driven by vector measures