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Maximal Controllability for Boundary Control Problems

Maximal Controllability for Boundary Control Problems We develop a semigroup approach to abstract boundary control problems which allows to characterize the space of all approximately reachable states. We then introduce the “maximal reachability space” giving an upper bound for this space. The abstract results are applied to the flow in a network controlled in a single vertex. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

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References (51)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Springer Science+Business Media, LLC
Subject
Mathematics; Numerical and Computational Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
ISSN
0095-4616
eISSN
1432-0606
DOI
10.1007/s00245-010-9101-1
Publisher site
See Article on Publisher Site

Abstract

We develop a semigroup approach to abstract boundary control problems which allows to characterize the space of all approximately reachable states. We then introduce the “maximal reachability space” giving an upper bound for this space. The abstract results are applied to the flow in a network controlled in a single vertex.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Oct 1, 2010

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