Control Theory from the Geometric Viewpoint

Language: English

Published by Springer, Springer Spektrum Apr 2004, 2004

3540210199 / 9783540210191

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 432 pp. Englisch.

Seller Inventory # 9783540210191

Title
Control Theory from the Geometric Viewpoint
Author
Andrei A. Agrachev
Publisher
Springer, Springer Spektrum Apr 2004
Publication year
2004
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3540210199
ISBN 13
9783540210191
Item weight
811 grams
Dimensions
241x160x29 mm

buchversandmimpf2000

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