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arXiv · 1010.6123

The integral estimations for ordinary differential equations and its application to the non-smooth optimal control problems

Nikolai Dokuchaev
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Abstract

The paper studies integral functionals with non-smooth functions from L_2 defined on solutions of ODEs. Some regularity is obtained in the form of estimates of L_2-norm for these functionals. This result is used for regularization of optimal control problems for ODEs with non-smooth functionals: it is suggested to replace the initial vector by a random vector with density. Necessary conditions of optimality and sufficient conditions of existence of optimal control are obtained.

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Nikolai Dokuchaev. 2010-10-29. The integral estimations for ordinary differential equations and its application to the non-smooth optimal control problems. https://arxiv.org/abs/1010.6123

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