DocumentCode
948843
Title
Nonlinear differential systems: A canonic, multivariable theory
Author
Newcomb, Robert W.
Author_Institution
University of Maryland, College Park, MD
Volume
65
Issue
6
fYear
1977
fDate
6/1/1977 12:00:00 AM
Firstpage
930
Lastpage
935
Abstract
An attached (multivariable) nonassociative algebra is shown to be a useful tool for the study of general polynomic differential systems. The main result is that the theory allows the reduction of all such systems to the canonic quadratic form x·= x ċ x within the algebra. This canonic square law differential equation is obtained through multivariable introductions to make all terms quadratic; nonstationary systems are included as are nonpolynomic differential systems through approximation. In the algebra a canonical power series solution is found which is useful for computer aided analysis. Examples are given to illustrate the concepts.
Keywords
Algebra; Differential algebraic equations; Differential equations; Linear systems; Network synthesis; Nonlinear equations; Polynomials; Stability; Systems engineering and theory; Writing;
fLanguage
English
Journal_Title
Proceedings of the IEEE
Publisher
ieee
ISSN
0018-9219
Type
jour
DOI
10.1109/PROC.1977.10590
Filename
1454859
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