Optimal Periodic Control: 1313 - Brossura

Colonius, Fritz

 
9783540192497: Optimal Periodic Control: 1313

Sinossi

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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Contenuti

Optimization theory.- Retarded functional differential equations.- Strong local minima.- Weak local minima.- Local relaxed minima.- Tests for local properness.- A scenario for local properness.- Optimal periodic control of ordinary differential equations.

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Altre edizioni note dello stesso titolo

9780387192499: Optimal Periodic Control

Edizione in evidenza

ISBN 10:  0387192492 ISBN 13:  9780387192499
Casa editrice: Springer Verlag, 1988
Brossura