"Functional Analysis and Time Optimal Control " by H. Hermes, J.P. LaSalle
Publisher: Academic Press | ISBN: 0123426502 | 1969 | PDF | 144 pages | 6 Mb
By the middle of this century automatic control engineering was well
advanced. Sophisticated analytic techniques were available for the
design of linear servomechanisms and with great justification Norbert
Wiener said: “The present age is as truly the age of servomechanisms
as the 19th Century was the age of the steam engine . . . .” Kolmogorofi‘
and Wiener had developed a mathematical theory of optimal filtering
and prediction, and engineers were already beginning to consider
problems in optimal control. It then happened i n 1953 under the influence
of Lefschetz that Bushaw gave a mathematical solution of ;I
simple optimal control problem. This was the beginning of the development
of a theory which is the subject of this monograph and the beginning
of the development of a more general theory of optimal control.
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