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Reduction of Nonlinear Control Systems : A Differential-Geometric Approach :  A Differential-Geometric Approach - V.I. Elkin

Reduction of Nonlinear Control Systems : A Differential-Geometric Approach

A Differential-Geometric Approach

Hardcover Published: February 1999
ISBN: 9780792356233
Number Of Pages: 248

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This monograph is devoted to methods of reduction of nonlinear control systems to a simpler form: for example, decomposition into systems of lesser dimension. The approach centres on the immersion of control systems into some differential geometric category. Within the framework of this category the reduction of control systems becomes a reduction to isomorphic objects, quotient objects, and subobjects. The theory of reduction of nonlinear control systems discussed here outlines the elements of the general theory of such systems, which is of necessity purely differential geometric by nature. Audience: This book will be of interest to graduate students as well as to researchers who wish to gain insight into the modern differential geometric theory of nonlinear control systems.

Introduction
Preliminariesp. 1
Categories of Control Systemsp. 107
Equivalence of Control Systemsp. 116
Factorization of Control Systemsp. 160
Restriction of Control Systemsp. 187
Certain Control Problemsp. 217
Bibliographyp. 243
Indexp. 247
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792356233
ISBN-10: 0792356233
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 248
Published: February 1999
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 1.91
Weight (kg): 0.57