
Optimal Periodic Control
Fritz Colonius(Author)
Springer (Publisher)
Published on 11. May 1988
Book
Paperback/Softback
VI, 177 pages
978-3-540-19249-7 (ISBN)
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.
More details
Series
Edition
1988 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VI, 177 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 11 mm
Weight
289 gr
ISBN-13
978-3-540-19249-7 (9783540192497)
DOI
10.1007/BFb0077931
Schweitzer Classification
Content
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.