Controllability of Evolution Equations with Memory
نویسندگان
چکیده
منابع مشابه
Controllability of Evolution Equations with Memory
This article is devoted to study the null controllability of evolution equations with memory terms. The problem is challenging not only because the state equation contains memory terms but also because the classical controllability requirement at the final time has to be reinforced, involving the contribution of the memory term, to ensure that the solution reaches the equilibrium. Using duality...
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and Applied Analysis 3 Lemma 5. The operators S α and A α have the following properties: (i) for any fixed t ≥ 0 and any x ∈ X β , one has the operators S α (t) and A α (t) which are linear and bounded operators; that is, for any x ∈ X β , Sα (t) x β ≤ M‖x‖β, Aα (t) x β ≤ M Γ (α) ‖x‖ β ; (12) (ii) the operatorsS α (t) andA α (t) are strongly continuous for all t ≥ 0; (iii) S α (...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2017
ISSN: 0363-0129,1095-7138
DOI: 10.1137/151004239