Title :
On periodic responses of nonlinear feedback systems
Author :
Bergen, Andreas ; Franks, R.
Author_Institution :
University of California, Berkeley, CA, USA
fDate :
2/1/1970 12:00:00 AM
Abstract :
For the feedback interconnection of a linear time-invariant plant and a periodically time-varying nonlinearity, an easily applied sufficient condition is derived which, for a periodic input, guarantees the existence of a periodic output of the same period. Error bounds for an approximate solution for the output are also presented.
Keywords :
Linear time-invariant (LTI) systems; Nonlinear systems, time-varying; Time-varying systems, nonlinear; Boundary conditions; Chemicals; Control systems; Inductors; Lyapunov method; Output feedback; Stability criteria; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099397
