DocumentCode
1371997
Title
A study of nonlinear systems with random inputs
Author
Chuang, Kuei ; Kazda, Louis F.
Author_Institution
University of Michigan, Ann Arbor, Mich
Volume
78
Issue
2
fYear
1959
fDate
5/1/1959 12:00:00 AM
Firstpage
100
Lastpage
105
Abstract
IT IS THE PURPOSE of this paper to present the results of investigating the probability distribution of the response of a nonlinear system when it is subjected to a Gaussian random input. The mathematical theory of a Markoff random process is used; the associated Fokker-Planck equation for a generalized continuous nonlinear system is presented. The justification for assuming the error response of a nonlinear control system as being a Markoff process is discussed.
Keywords
Equations; Mathematical model; Nonlinear systems; Probability density function; Probability distribution; Random processes; Servomechanisms;
fLanguage
English
Journal_Title
American Institute of Electrical Engineers, Part II: Applications and Industry, Transactions of the
Publisher
ieee
ISSN
0097-2185
Type
jour
DOI
10.1109/TAI.1959.6371546
Filename
6371546
Link To Document