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AuthorColonius, Fritz. author
TitleOptimal Periodic Control [electronic resource] / by Fritz Colonius
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1988
Connect tohttp://dx.doi.org/10.1007/BFb0077931
Descript VI, 177 p. online resource

SUMMARY

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


CONTENT

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


Mathematics System theory Calculus of variations Mathematics Systems Theory Control Calculus of Variations and Optimal Control; Optimization



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