Null-Controllability of Discrete-Time Systems with Restrained Controls in Asplund Spaces
Tóm tắt
This paper is concerned with the null-controllability of the infinite-dimensional discrete-time linear system described by
$$(A, B, \Omega ) x_{n + 1} = Ax_n + Bu_n$$
where xn ∈ X, un ∈ Ω ⊂ U, X and U are Asplund spaces, A ∈ L(X, X), B ∈ L (U, X), Ω is a convex set, int Ω ≠ 0 and 0 ∈ Ω.
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