Title :
Absolute stability criterion for a class of nonlinear systems with slope-restricted nonlinearity
Author_Institution :
M.N.R. Engineering College, Allahabad, India
Abstract :
Using Lyapunov´s direct method, a stability inequality in frequency domain which incorporates the slope information of the nonlinearity is derived for a class of nonlinear feedback systems. The present Lyapunov function contains an integral involving the slope of the nonlinearity, i.e., unlike the conventional Lure-type Lyapunov function.
Keywords :
Differential equations; Frequency domain analysis; Integral equations; Lyapunov method; Nonlinear equations; Nonlinear systems; Output feedback; Stability criteria; Transfer functions;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1982.12451