Author	Colonius, Fritz. author
Title	Optimal Periodic Control [electronic resource] / by Fritz Colonius
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1988
Connect to	http://dx.doi.org/10.1007/BFb0077931
Descript	VI, 177 p. online resource

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

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

1. Mathematics
2. System theory
3. Calculus of variations
4. Mathematics
5. Systems Theory
6. Control
7. Calculus of Variations and Optimal Control; Optimization