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Geometric Control Theory (Cambridge Studies in Advanced Mathematics)

Jurdjevic, Velimir

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ISBN 10: 0521495024 / ISBN 13: 9780521495028
Published by Cambridge & New York: Cambridge University Press, 1997
Used Condition: Good Hardcover
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Octavo in gray cloth binding. Diagrams. Condition: ex-library with markings; some damage to spine including two tears, creasing & abrasions; else good. 492 pages. Bookseller Inventory # 301281

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Bibliographic Details

Title: Geometric Control Theory (Cambridge Studies ...

Publisher: Cambridge & New York: Cambridge University Press

Publication Date: 1997

Binding: Hardcover

Book Condition:Good

Dust Jacket Condition: No Jacket

Edition: 1st Edition

About this title

Synopsis:

This book describes the mathematical theory inspired by the irreversible nature of time-evolving events. The first part of the book deals with the ability to steer a system from any point of departure to any desired destination. The second part deals with optimal control--the problem of finding the best possible course. The author demonstrates an overlap with mathematical physics using the maximum principle, a fundamental concept of optimality arising from geometric control, which is applied to time-evolving systems governed by physics as well as to man-made systems governed by controls. He draws applications from geometry, mechanics, and control of dynamical systems. The geometric language in which the author expresses the results allows clear visual interpretations and makes the book accessible to physicists and engineers as well as to mathematicians.

Book Description:

Geometric control theory concerns the differential equations described by non-commuting vector fields. It builds ideas from the theory of differential systems and the calculus of variations into a cohesive mathematical framework applicable to a wide range of problems from differential geometry, applied mathematics, physics and engineering.

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