The fixed point method in parametric optimization problems for systems

The fixed point method in parametric optimization problems for systems

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Article ID: iaor2014120
Volume: 74
Issue: 12
Start Page Number: 1927
End Page Number: 1934
Publication Date: Dec 2013
Journal: Automation and Remote Control
Authors: ,
Keywords: optimization, programming: dynamic
Abstract:

We propose a new approach to optimizing controlling parameters in dynamical systems based on constructing and solving the fixed point problem in the defined projection operator. This procedure provides the possibility to improve controls satisfying the differential maximum principle and lets us find a strengthened necessary optimality condition.

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