Optimal Control Problems of Phase Relaxation Models

V. Barbu, M. L. Bernardi, P. Colli and G. Gilardi
Additional contact information
V. Barbu: University Al I. Cuza
M. L. Bernardi: University of Pavia
P. Colli: University of Pavia
G. Gilardi: University of Pavia

Journal of Optimization Theory and Applications, 2001, vol. 109, issue 3, No 5, 557-585

Abstract: Abstract This work is concerned with optimal control problems with convex cost criterion governed by the relaxed Stefan problem with or without memory. The existence of an optimal control is proved and necessary conditions for a given function to be an optimal control are found. Moreover, an asymptotic analysis is performed as the time relaxation parameter tends to zero.

Keywords: optimal control problems; relaxed Stefan problem; memory effects; existence of optimal control; asymptotic analysis in terms of relaxation coefficient; necessary conditions of optimality (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017563604922

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