Relaxation of a Weakly Discontinuous Functional Depending on One Control Function
Journal Title: Mathematical Modelling and Analysis - Year 2008, Vol 13, Issue 1
Abstract
The paper considers an optimal control problem of the type J=int_{Omega} < B(x) nabla u, nabla u > + < g,nabla u>dx → min div A(x) nabla u-h(x)=0 in Omega u ϵ H[sub]0[/sub][sup]1[/sup](Omega;R[sup]m[/sup]), h ϵ M where the set M of admissible controls consists of all measurable vector-functions h, which can take only two values h[sub]1 [/sub]or h[sub]2[/sub]. It is shown that the relaxation of this problem can be explicitly computed by rank-one laminates.
Authors and Affiliations
U. Raitums
Keywords
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- EP ID EP82943
- DOI 10.3846/1392-6292.2008.13.79-85
- Views 82
- Downloads 0
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