Displaying similar documents to “Controllability of the Semilinear Heat Equation with Impulses and Delay on the State”

Controllability of the Strongly Damped Wave Equation with Impulses and Delay

Hugo Leiva (2017)

Nonautonomous Dynamical Systems

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Evading fixed point theorems we prove the interior approximate controllability of the following semilinear strongly damped wave equation with impulses and delay [...] in the space Z1/2 = D((−Δ)1/2)×L2(Ω),where r > 0 is the delay, Γ = (0, τ)×Ω, ∂Γ = (0, τ) × ∂Ω, Γr = [−r, 0] × Ω, (ϕ,ψ) ∈ C([−r, 0]; Z1/2), k = 1, 2, . . . , p, Ω is a bounded domain in ℝℕ(ℕ ≥ 1), ω is an open nonempty subset of , 1 ω denotes the characteristic function of the set ω, the distributed control u ∈ L2(0,...

Controllability and observability of linear delay systems: an algebraic approach

M. Fliess, H. Mounier (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Interpretations of most existing controllability and observability notions for linear delay systems are given. Module theoretic characterizations are presented. This setting enables a clear and precise comparison of the various examined notions. A new notion of controllability is introduced, which is called pi-freeness.

Existence and controllability for nondensely defined partial neutral functional differential inclusions

Khalil Ezzinbi, Soumia Lalaoui Rhali (2015)

Applications of Mathematics

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We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined Hille-Yosida operators. Existence and controllability results are established by combining the theory of addmissible multivalued contractions and Frigon's fixed point theorem. These results are applied to a neutral partial differential inclusion with diffusion.