Displaying similar documents to “Exact controllability of a non-linear generalized damped wave equation: Application to the sine-Gordon equation.”

Forward invariant sets, homogeneity and small-time local controllability

Mikhail Krastanov (1995)

Banach Center Publications

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The property of forward invariance of a subset of R n with respect to a differential inclusion is characterized by using the notion of a perpendicular to a set. The obtained results are applied for investigating the dependence of the small-time local controllability of a homogeneous control system on parameters.

Remarks on Carleman estimates and exact controllability of the Lamé system

Oleg Yu. Imanuvilov, Masahiro Yamamoto (2002)

Journées équations aux dérivées partielles

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In this paper we established the Carleman estimate for the two dimensional Lamé system with the zero Dirichlet boundary conditions. Using this estimate we proved the exact controllability result for the Lamé system with with a control locally distributed over a subdomain which satisfies to a certain type of nontrapping conditions.