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Operator Approach to Linear Control Systems by V. N. Fomin, A. Cheremensky (Paperback, 2013)

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The idea of optimization runs through most parts of control theory. The simplest optimal controls are preplanned (programmed) ones. The problem of constructing optimal preplanned controls has been extensively worked out in literature (see, e. g. , the Pontrjagin maximum principle giving necessary conditions of preplanned control optimality). However, the concept of op- timality itself has a restrictive character: it is limited by what one means under optimality in each separate case. The internal contradictoriness of the preplanned control optimality ( the better is the enemy of the good ) yields that the practical significance of optimal preplanned controls proves to be t great: such controls are usually sensitive to unregistered disturbances (includ- ing the round-off errors which are inevitable when computer devices are used for forming controls), as there is the effect of disturbance accumulation in the control process which makes controls to be of little use on large time inter- vals. This gap is mainly provoked by oversimplified settings of optimization problems. The outstanding result of control theory established in the end of the first half of our century is that controls in feedback form ensure the weak sensitivity of closed loop systems with respect to small unregistered internal and external disturbances acting in them (here we do t need to discuss performance indexes, since the considered phemen is of general nature). But by far t all optimal preplanned controls can be represented in a feedback form.

Product Identifiers

Publisher
Springer
ISBN-10
9401065446
ISBN-13
9789401065443
eBay Product ID (ePID)
208783103

Product Key Features

Author
A. Cheremensky, V. N. Fomin
Format
Paperback
Language
English
Subject
Mathematics
Type
Textbook

Dimensions

Weight
635g
Height
235mm
Width
155mm

Additional Product Features

Place of Publication
Dordrecht
Spine
22mm
Series Part/Volume Number
345
Series Title
Mathematics and Its Applications
Content Note
1 Black & White Illustrations, Biography
Date of Publication
16/08/2013
Edition Statement
Softcover Reprint of the Original 1st Ed. 1996
Genre
Mathematics
Country of Publication
Netherlands

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Operator Approach to Linear Control Systems by V. N. Fomin, A. Cheremensky (Paperback, 2013)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

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Save on Adult Learning & University

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