ENGLISH

Optimal Periodic Control

By Fritz Colonius (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1988
ISBN
978-3-540-19249-7, 978-3-540-39170-8
DOI
10.1007/BFb0077931
Language
english
Format
PDF
Filesize
3 MB (2675385 bytes)
Series
Lecture Notes in Mathematics 1313
Edition
1
Pages
177\182
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Control; Calculus of Variations and Optimal ControSystems Theory

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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