Control Theory from the Geometric Viewpoint

Language: English

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2010

3642059074 / 9783642059070

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based on graduate courses given by the first coauthor in the years 2000-2001 at the International School for Advanced Studies, Trieste, Italy. Mathematical prerequisites are reduced to standard courses of Analysis and Linear Algebra plus some basic Real and Functional Analysis. No preliminary knowledge of Control Theory or Differential Geometry is required. What this book is about The classical deterministic physical world is described by smooth dynamical systems: the future in such a system is com pletely determined by the initial conditions. Moreover, the near future changes smoothly with the initial data. If we leave room for 'free will' in this fatalistic world, then we come to control systems. We do so by allowing certain param eters of the dynamical system to change freely at every instant of time. That is what we routinely do in real life with our body, car, cooker, as well as with aircraft, technological processes etc. We try to control all these dynamical systems! Smooth dynamical systems are governed by differential equations. In this book we deal only with finite dimensional systems: they are governed by ordi nary differential equations on finite dimensional smooth manifolds. A control system for us is thus a family of ordinary differential equations. The family is parametrized by control parameters.

Seller Inventory # 9783642059070

Title
Control Theory from the Geometric Viewpoint
Author
Yuri Sachkov
Publisher
Springer Berlin Heidelberg, Springer Berlin Heidelberg
Publication year
2010
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642059074
ISBN 13
9783642059070
Item weight
651 grams
Dimensions
235x155x24 mm

AHA-BUCH GmbH

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