Buch, Englisch, Band 1313, 177 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1313, 177 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-19249-7
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Mathematik Allgemein
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
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.
