Displaying similar documents to “Stabilizability and controllability of systems associated to linear skew-product semiflows.”

Controllability of nonlinear PDE’s: Agrachev–Sarychev approach

Armen Shirikyan (2007)

Journées Équations aux dérivées partielles

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This short note is devoted to a discussion of a general approach to controllability of PDE’s introduced by Agrachev and Sarychev in 2005. We use the example of a 1D Burgers equation to illustrate the main ideas. It is proved that the problem in question is controllable in an appropriate sense by a two-dimensional external force. This result is not new and was proved earlier in the papers [, ] in a more complicated situation of 2D Navier–Stokes equations.

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.