Lecture Notes in Mathematics

Optimal Periodic Control

Authors: Colonius, Fritz

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About this book

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.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $29.99
price for USA in USD
  • ISBN 978-3-540-39170-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.99
price for USA in USD
  • ISBN 978-3-540-19249-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Optimal Periodic Control
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1313
Copyright
1988
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-39170-8
DOI
10.1007/BFb0077931
Softcover ISBN
978-3-540-19249-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VI, 177
Topics