Optimal Periodic Control / by Fritz Colonius.

Format:

Book

Author/Creator:

Colonius, Fritz, author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1313.

Lecture Notes in Mathematics, 0075-8434 ; 1313

Language:

English

Subjects (All):

System theory.

Mathematical optimization.

Systems Theory, Control.

Calculus of Variations and Optimal Control; Optimization.

Local Subjects:

Systems Theory, Control.

Calculus of Variations and Optimal Control; Optimization.

Physical Description:

1 online resource (VI, 177 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

System Details:

text file PDF

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, id est 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.

Contents:

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.

Other Format:

Printed edition:

ISBN:

9783540391708

Access Restriction:

Restricted for use by site license.