New necessary conditions for optimal control problems in discontinuous dynamic systems

In the paper we derive new necessary optimality conditions for optimal control of differential equations systems with discontinuous right hand side. The main attention is paid to a situation when an optimal trajectory slides on the discontinuity surface. The new conditions, derived in the paper, are...

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Bibliographic Details
Main Authors: Kostina, Ekaterina (Author) , Kostjukova, Ol'ga I. (Author) , Schmidt, Werner H. (Author)
Format: Chapter/Article Conference Paper
Language:English
Published: 2013
In: System modeling and optimization
Year: 2013, Pages: 122-135
DOI:10.1007/978-3-642-36062-6_13
Online Access:Resolving-System, Volltext: http://dx.doi.org/10.1007/978-3-642-36062-6_13
Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-642-36062-6_13
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Author Notes:Ekaterina Kostina, Olga Kostyukova, and Werner Schmidt
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Summary:In the paper we derive new necessary optimality conditions for optimal control of differential equations systems with discontinuous right hand side. The main attention is paid to a situation when an optimal trajectory slides on the discontinuity surface. The new conditions, derived in the paper, are essential and do not follow from any known necessary conditions for such systems.
Item Description:Gesehen am 03.08.2018
Physical Description:Online Resource
ISBN:9783642360626
DOI:10.1007/978-3-642-36062-6_13