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

Description: Reduction of Nonlinear Control Systems by V.I. Elkin In particular, linear dynamic control systems iJ = Ay + Bu, y E M C ]Rn, U E ]RT, (1) where A and B are constants, are often abandoned in favor of nonlinear dynamic control systems (2) which, in addition, contain a large number of equations. FORMAT Hardcover LANGUAGE English CONDITION Brand New Publisher 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. Table of Contents 1 Preliminaries.- 2 Categories of Control Systems.- 3 Equivalence of Control Systems.- 4 Factorization of Control Systems.- 5 Restriction of Control Systems.- 6 Certain Control Problems. Promotional Springer Book Archives Long Description Advances in science and technology necessitate the use of increasingly-complicated dynamic control processes. Undoubtedly, sophisticated mathematical models are also concurrently elaborated for these processes. In particular, linear dynamic control systems iJ = Ay + Bu, y E M C ]Rn, U E ]RT, (1) where A and B are constants, are often abandoned in favor of nonlinear dynamic control systems (2) which, in addition, contain a large number of equations. The solution of problems for multidimensional nonlinear control systems en Details ISBN0792356233 Author V.I. Elkin Year 1999 ISBN-10 0792356233 ISBN-13 9780792356233 Format Hardcover Subtitle A Differential Geometric Approach Place of Publication Dordrecht DEWEY 629.836 Short Title REDUCTION OF NONLINEAR CONTROL Language English Media Book Series Number 472 Publication Date 1999-02-28 Pages 248 Edition 1999th Publisher Springer Imprint Springer Country of Publication Netherlands Illustrations XI, 248 p. DOI 10.1023/b130140;10.1007/978-94-011-4617-3 Edition Description 1999 ed. Alternative 9789401059510 Audience Postgraduate, Research & Scholarly Series Mathematics and Its Applications We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96264866;

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