Boundary Control of PDEs via Curvature Flows: the View from the Boundary, II

Boundary Control of PDEs via Curvature Flows: the View from the Boundary, II Abstract. We describe some results on the exact boundary controllability of the wave equation on an orientable two-dimensional Riemannian manifold with nonempty boundary. If the boundary has positive geodesic curvature, we show that the problem is controllable in finite time if (and only if) there are no closed geodesics in the interior of the manifold. This is done by solving a parabolic problem to construct a convex function. We exhibit an example for which control from a subset of the boundary is possible, but cannot be proved by means of convex functions. We also describe a numerical implementation of this method. Applied Mathematics and Optimization Springer Journals

Boundary Control of PDEs via Curvature Flows: the View from the Boundary, II

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Copyright © Inc. by 2002 Springer-Verlag New York
Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
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