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)

Nonautonomous Dynamical Systems

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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.

Controllability of nonlinear delay systems with delay depending on state variable

Krishnan Balachandran, D. Somasundaram (1986)

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

Baghli, S., Benchohra, M., Ezzinbi, K. (2009)

Surveys in Mathematics and its Applications

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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.