Read Optimal Periodic Control (Lecture Notes in Mathematics)

Optimal Periodic Control (Lecture Notes in Mathematics)

Fritz Colonius

4.9/5 (13462 ratings)

Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Optimal Periodic Control (Lecture Notes in Mathematics). To get started finding Optimal Periodic Control (Lecture Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
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Pages: 587

Format: PDF, EPUB & Kindle Edition

Publisher: N/A

Release: 1988

ISBN: 0387192492

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Optimal Periodic Control (Lecture Notes in Mathematics). To get started finding Optimal Periodic Control (Lecture Notes in Mathematics), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Optimal Periodic Control (Lecture Notes in Mathematics)

Optimal Periodic Control (Lecture Notes in Mathematics)

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