Optimal periodic control
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Word Count
44,250 words, Guess
Page Count
177 pages
Identifiers
- Open LibraryOL2107134M
- ISBN-100387192492
- OCLC Control Number18145429
- OCLC Control Numberoptimalperiodicc00colo
- Library of Congress Control Number88158744
Classifications
- LCCQA3 .L28 no. 1313
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.
Subjects
Series Statement
- Lecture notes in mathematics ;
Other Editions
- Optimal periodic control
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