Title :
A study of nonlinear systems with random inputs
Author :
Chuang, Kuei ; Kazda, Louis F.
Author_Institution :
University of Michigan, Ann Arbor, Mich
fDate :
5/1/1959 12:00:00 AM
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;
Journal_Title :
American Institute of Electrical Engineers, Part II: Applications and Industry, Transactions of the
DOI :
10.1109/TAI.1959.6371546
