Reduction of nonlinear control systems
Subtitle: a differential geometric approach
By: by V.I. Elkin ; [tranlsated by P.S.V. Naidu]
Contributors: Naidu, P. S. V.
Series: Mathematics and its applications -- 472; Mathematics and its applications (Springer Science+Business Media) -- 472.
Publisher: Springer-Science+Business Media
Published: 1999
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 248
ISBN-13: 9789401146173; 9789401059510
Subjects: Nonlinear control theory; Differential Geometry
Work titles: Redukt͡sii͡a nelineĭnykh upravli͡aemykh sistem, different͡sialʹno-geometricheskiĭ podkhod
Description: 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.
Notes: This is a completely updated and revised translation of the original Russian work.

Originally published by Kluwer Academic Publishers in 1999.

Includes bibliographical references and indexes.