Optimal Periodic Control: 1313 (Lecture Notes in Mathematics, 1313) - Tapa blanda

Colonius, Fritz

 
9783540192497: Optimal Periodic Control: 1313 (Lecture Notes in Mathematics, 1313)
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ISBN 10: 3540192492 ISBN 13: 9783540192497
Editorial: Springer Berlin Heidelberg, 2008

Sinopsis

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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Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer Berlin Heidelberg
Año de publicación
2008
Idioma
Inglés
ISBN 10 
3540192492
ISBN 13 
9783540192497
Encuadernación
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Número de páginas
184
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Otras ediciones populares con el mismo título

9780387192499: Optimal Periodic Control (Lecture Notes in Mathematics)

Edición Destacada

ISBN 10:  0387192492 ISBN 13:  9780387192499
Editorial: Springer Verlag, 1988
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