Optimal Boundary Control of Convection-Reaction Transport Systems with Binary Control Functions
Hante F, Leugering G (2009)
Publication Type: Conference contribution, Abstract of lecture
Publication year: 2009
Journal
Publisher: Springer-verlag
Edited Volumes: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
City/Town: Berlin Heidelberg
Book Volume: 5469
Pages Range: 209-222
Conference Proceedings Title: Lecture Notes in Computer Science
Event location: San Francisco, CA, USA
ISBN: 978-3-642-00602-9
URI: http://link.springer.com/chapter/10.1007/978-3-642-00602-9_15
DOI: 10.1007/978-3-642-00602-9_15
Abstract
We investigate a new approach for solving boundary control problems for dynamical systems that are governed by transport equations, when the control function is restricted to binary values. We consider these problems as hybrid dynamical systems embedded with partial differential equations and present an optimality condition based on sensitivity analysis for the objective when the dynamics are governed by semilinear convection-reaction equations. These results make the hybrid problem accessible for continuous non-linear optimization techniques. For the computation of optimal solution approximations, we propose using meshfree solvers to overcome essential difficulties with numerical dissipation for these distributed hybrid systems. We compare results obtained by the proposed method with solutions taken from a mixed inter programming formulation of the control problem.
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How to cite
APA:
Hante, F., & Leugering, G. (2009, January). Optimal Boundary Control of Convection-Reaction Transport Systems with Binary Control Functions. Paper presentation at 12th International Conference, HSCC 2009, San Francisco, CA, USA, US.
MLA:
Hante, Falk, and Günter Leugering. "Optimal Boundary Control of Convection-Reaction Transport Systems with Binary Control Functions." Presented at 12th International Conference, HSCC 2009, San Francisco, CA, USA Ed. Rupak Majumdar; Paulo Tabuada, Berlin Heidelberg: Springer-verlag, 2009.
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