Name: optimal periodic control
SKU: 3417683
Price: 30.88 EUR
Availability: InStock
Author: colonius
ISBN: 9783540192497

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Type

Physical Book

Publisher

Springer

Author

colonius

Language

English

Pages

177

ISBN

3540192492

ISBN13

9783540192497

Synopsis "optimal periodic control"

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 ekelands 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.