The maximum principle in a nonsmooth minimax problem of optimal control

The maximum principle in a nonsmooth minimax problem of optimal control

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Article ID: iaor1990575
Country: United States
Volume: 39
Start Page Number: 1
End Page Number: 7
Publication Date: Feb 1989
Journal: Soviet Mathematics Doklady
Authors:
Abstract:

In minimax control problems, which are of significant interest in control theory and its applications, a necessary condition for optimality is also often written in the form of a maximum principle. The present paper deals with a much studied minimax control problem with free right end and fixed time under the assumption that the right member in the control differential equation for the phase vector is only Lipschitz.

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