Gugat M, Zuazua E (2016)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2016
Publisher: Wiley-Blackwell
Book Volume: 37
Journal Issue: 3
URI: http://onlinelibrary.wiley.com/doi/10.1002/oca.2238/abstract
DOI: 10.1002/oca.2238
We study optimal control problems for linear systems with prescribed initial and terminal states. We analyze the exact penalization of the terminal constraints. We show that for systems that are exactly controllable, the norm-minimal exact control can be computed as the solution of an optimization problem without terminal constraint but with a nonsmooth penalization of the end conditions in the objective function, if the penalty parameter is sufficiently large. We describe the application of the method for hyperbolic and parabolic systems of partial differential equations, considering the wave and heat equations as particular examples. Copyright © 2016 John Wiley & Sons, Ltd.
APA:
Gugat, M., & Zuazua, E. (2016). Exact penalization of terminal constraints for optimal control problems. Optimal Control Applications & Methods, 37(3). https://dx.doi.org/10.1002/oca.2238
MLA:
Gugat, Martin, and Enrique Zuazua. "Exact penalization of terminal constraints for optimal control problems." Optimal Control Applications & Methods 37.3 (2016).
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