Displaying similar documents to “Controllability of a Nonhomogeneous String and Ring under Time Dependent Tension”

Null controllability of the semilinear heat equation

E. Fernandez-Cara (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper is concerned with the null controllability of systems governed by semilinear parabolic equations. The control is exerted either on a small subdomain or on a portion of the boundary. We prove that the system is null controllable when the nonlinear term grows slower than . log|| as || → ∞.

Global non-negative controllability of the semilinear parabolic equation governed by bilinear control

Alexander Y. Khapalov (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain the coefficient () in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability by traditional...