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140122 ||| eng |
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|a 9783540391708
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|a Colonius, Fritz
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| 245 |
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|a Optimal Periodic Control
|h Elektronische Ressource
|c by Fritz Colonius
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| 250 |
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|a 1st ed. 1988
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1988, 1988
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| 300 |
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|a VI, 177 p
|b online resource
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| 505 |
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|a 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
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a System theory
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Calculus of variations
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Lecture Notes in Mathematics
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| 028 |
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|a 10.1007/BFb0077931
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| 856 |
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|u https://doi.org/10.1007/BFb0077931?nosfx=y
|x Verlag
|3 Volltext
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|a 003
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| 520 |
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|a 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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