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Optimal periodic control

This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic moti...

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Detalles Bibliográficos
Autor principal: Colonius, Fritz
Lenguaje:eng
Publicado: Springer 1988
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0077931
http://cds.cern.ch/record/1691265
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author Colonius, Fritz
author_facet Colonius, Fritz
author_sort Colonius, Fritz
collection CERN
description This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering.
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spelling cern-16912652021-04-21T21:11:18Zdoi:10.1007/BFb0077931http://cds.cern.ch/record/1691265engColonius, FritzOptimal periodic controlMathematical Physics and MathematicsThis research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. Using either Ekeland's Variational Principle or optimization theory in Banach spaces, necessary optimality conditions are proved. In particular, complete proofs of second-order conditions are included and the result is used for various versions of the optimal periodic control problem. Furthermore a scenario for local properness (related to Hopf bifurcation) is drawn up, giving hints as to where to look for optimal periodic solutions. The book provides mathematically rigorous proofs for results which are potentially of importance in chemical engineering and aerospace engineering.Springeroai:cds.cern.ch:16912651988
spellingShingle Mathematical Physics and Mathematics
Colonius, Fritz
Optimal periodic control
title Optimal periodic control
title_full Optimal periodic control
title_fullStr Optimal periodic control
title_full_unstemmed Optimal periodic control
title_short Optimal periodic control
title_sort optimal periodic control
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/BFb0077931
http://cds.cern.ch/record/1691265
work_keys_str_mv AT coloniusfritz optimalperiodiccontrol