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.
Hardcover
English
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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.
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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
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