DocumentCode :
801308
Title :
Stochastic stability in nonlinear control systems
Author :
Ku, Y.
Author_Institution :
University of Pennsylvania, Philadelphia, PA, USA
Volume :
14
Issue :
5
fYear :
1969
fDate :
10/1/1969 12:00:00 AM
Firstpage :
599
Lastpage :
601
Abstract :
The stability of nonlinear control systems with stochastic coefficients is studied by applying the Lyapunov theory. A Lyapunov function 
is first assumed, similar to the deterministic case. Consider next the natural stochastic analog of 
as à , where à is equal to the differential generator. The procedure of establishing stability conditions is illustrated by two second-order examples and four third-order examples.
is first assumed, similar to the deterministic case. Consider next the natural stochastic analog of as à , where à is equal to the differential generator. The procedure of establishing stability conditions is illustrated by two second-order examples and four third-order examples.Keywords :
Lyapunov methods; Nonlinear systems, stochastic; Stochastic systems, nonlinear; Asymptotic stability; Books; Differential equations; Integral equations; Lyapunov method; Nonlinear control systems; Nonlinear equations; Stability criteria; Stochastic processes; Stochastic systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1969.1099274
Filename :
1099274
Link To Document :
