DocumentCode :
825851
Title :
Smooth representation of systems with differentiated inputs
Author :
Freedman, M.I. ; Willems, Jan C.
Author_Institution :
Boston University, Boston, MA, USA
Volume :
23
Issue :
1
fYear :
1978
fDate :
2/1/1978 12:00:00 AM
Firstpage :
16
Lastpage :
21
Abstract :
Conditions are derived under which the nonlinear input-output system 
can be represented in the form 
; 
. Various implications of the results to stochastic differential equations are considered.
can be represented in the form ; . Various implications of the results to stochastic differential equations are considered.Keywords :
Nonlinear systems, continuous-time; Nonlinear systems, stochastic continuous-time; Differential equations; Linear systems; Markov processes; Mathematics; Nonlinear systems; Polynomials; Stability; Stochastic processes; Sufficient conditions; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1978.1101693
Filename :
1101693
Link To Document :
