Title :
Computer-aided stability analysis renders Popov criterion obsolete
Author_Institution :
University of Southern California, Los Angeles, CA, USA
fDate :
12/1/1987 12:00:00 AM
Abstract :
A class of multipliers that can be used for producing alternative stability tests for systems having a single incrementally conic nonlinearity

has been nearly parameterized by Zames and Falb [1]. The present note demonstrates how linear programming can be used to compute optimal multipliers leading to a frequency domain stability criterion that is less conservative than the standard graphical criteria.
Keywords :
Linear programming; Popov stability, nonlinear systems; Stability, nonlinear systems; Feedback; Fourier transforms; Frequency domain analysis; Linear programming; Nonlinear systems; Stability analysis; Stability criteria; Sufficient conditions; System testing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1987.1104510