Displaying similar documents to “Correction to “Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity””

Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations

Jean-Michel Coron (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider a 1-D tank containing an inviscid incompressible irrotational fluid. The tank is subject to the control which consists of horizontal moves. We assume that the motion of the fluid is well-described by the Saint–Venant equations (also called the shallow water equations). We prove the local controllability of this nonlinear control system around any steady state. As a corollary we get that one can move from any steady state to any other steady state.

Exact boundary controllability of a hybrid system of elasticity by the HUM method

Bopeng Rao (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.