Title :
A stability criterion for feedback systems containing a single time-varying nonlinear element
Author :
Rekasius, Z.V. ; Rowland, J.R.
Author_Institution :
Technological Institute, Northwestern University, Evanston, IL, USA
fDate :
7/1/1965 12:00:00 AM
Abstract :
Sufficient conditions for stability are obtained for feedback systems containing a single time-varying nonlinear element whose input-output characteristic lies within a finite sector. An improved frequency-domain criterion is developed. This criterion utilizes information related to the rate at which the output of the nonlinearity varies with time. Examples are provided to demonstrate the particular advantages of the improved criterion.
Keywords :
Nonlinear systems, time-varying; Stability; Time-varying systems, nonlinear; Control system synthesis; Control systems; Delay effects; Difference equations; Feedback; Kalman filters; Linear systems; Optimal control; Stability criteria; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1965.1098173