Geodesic
On singular controls in the sense of the pointwise maximum principle in distributed optimization problems
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 70-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that for distributed optimization problems a sufficiently typical situation is strong degeneration of the singular controls in the sense of the pointwise maximum principle, when together with the maximum principle (which is a first order necessary optimality condition in the case of spike-shaped variation) a second order necessary optimality conditions also degenerates. A derivation of constructive necessary optimality conditions for singular controls is suggested.
Keywords: distributed optimization problems, guided Volterra functional equations, pointwise maximum principle, singular controls. 
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V. I. Sumin. On singular controls in the sense of the pointwise maximum principle in distributed optimization problems. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 70-80. http://geodesic.mathdoc.fr/item/VUU_2010_3_a8/

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