2019•arXiv (Cornell University)Open access
Local infimum in optimal control
Evgeny Rachievich Avakov, Georgii Georgievich Magaril-Il'yaev
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Abstract
The concept of a local infimum for an optimal control problem is introduced. This definition extends that of an optimal process. For a~local infimum we prove an existence theorem and derive necessary conditions that resemble some family of "maximum principles". Examples are given to demostrate the meaningfulness of the necessary conditions obtained in the present paper, which extend and strengthen the classical results in this field.
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