Controllability of the Strongly Damped Wave Equation with Impulses and Delay

Hugo Leiva

Displaying similar documents to “Controllability of the Strongly Damped Wave Equation with Impulses and Delay”

Controllability of the Semilinear Heat Equation with Impulses and Delay on the State

Hugo Leiva (2015)

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In this paper we prove the interior approximate controllability of the following Semilinear Heat Equation with Impulses and Delay [...] where Ω is a bounded domain in RN(N ≥ 1), φ : [−r, 0] × Ω → ℝ is a continuous function, ! is an open nonempty subset of Ω, 1ω denotes the characteristic function of the set ! and the distributed control u be- longs to L2([0, τ]; L2(Ω; )). Here r ≥ 0 is the delay and the nonlinear functions f , Ik : [0, τ] × ℝ × ℝ → ℝ are smooth enough, such that [...]...

Tracking control of a vibrating string with an interior mass viewed as delay system

H. Mounier, J. Rudolph, M. Fliess, P. Rouchon (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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A vibrating string, modelled by the wave equation, with an interior mass is considered. It is viewed as a linear delay system. A trajectory tracking problem is solved using a new type of controllability.

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Krishnan Balachandran, D. Somasundaram (1986)

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Controllability results for semilinear functional and neutral functional evolution equations with infinite delay.

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