Książka Optimal Periodic Control Fritz Colonius

Optimal Periodic Control

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 8-11 dni
107.32
This research monograph deals with optimal periodic control problems for systems governed by ordinar...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
strony
177
EAN
9783540192497
ISBN
3540192492
Enbook ID
05273648
Waga
287
Wymiary
156 x 234 x 9

Pełny opis

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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