Abstract
We consider a system governed by a family of parabolic equations. The problem is to minimize the diameter of the set of non-admissible states. We give some conditions that ensure that the problem has a solution and show how to approach the original problem by a smooth problem. We give some encouraging numerical results concerning an application of these ideas to the continuous casting problem.
This study has been supported by AFME. MM. Jolivet and Larrecq, from IRSID, are gratefully acknowledged for this useful advices.
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References
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© 1988 Springer-Verlag
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Bonnans, J.F., Caudrat, V., Saguez, C. (1988). A domain control approach to state-constrained control problems. In: Zolésio, J.P. (eds) Boundary Control and Boundary Variations. Lecture Notes in Control and Information Sciences, vol 100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0041911
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DOI: https://doi.org/10.1007/BFb0041911
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