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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.
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| $99.99 | Digital |
| WonderClub |
Marsha Luyten
reviewed Optimal periodic control on January 25, 2021
Optimal periodic control
Every few years I take this book out and reread it. Yolen writes with deceptive simplicity and clarity that one doesn't realize how profoundly true her words are until they keep coming back in memory.
From this book comes a (deservedly) repeated quotation, which I reproduce here, as I use it frequently to give the short answer why I can't read game of Thrones, well-written as it is:
And for adults, the world of fantasy books returns to us the great words of power which, in order to be tamed, we have excised from our adult vocabularies. These words are the pornography of innocence, words which adults no longer use with other adults, and so we laugh at them and consign them to the nursery, fear masking as cynicism. These are the words that were forged in the earth, air, fire, and water of human existence, and the words are:
Love. Hate. Good. Evil. Courage. Honor. Truth."
And:
"Touch magic. Pass it on."
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