Title :
Conditions for the absence of limit cycles
Author_Institution :
University of Manchester Institute of Science and Technology, Manchester, England
fDate :
6/1/1976 12:00:00 AM
Abstract :
Sufficient conditions are derived for the nonoccurrence of limit cycles in a class of nonlinear multivariable feedback systems, where the nonlinearities are single-valued, time-invariant, and slope-restricted. The conditions involve the transfer function matrix of the linear part of the system, and can be interpreted graphically in terms of Nyquist diagrams.
Keywords :
Limit cycles; Nonlinear systems, continuous-time; Stability; Control systems; Eigenvalues and eigenfunctions; Feedback loop; Fourier transforms; Frequency conversion; Limit-cycles; Stability analysis; Sufficient conditions; Transfer functions; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1976.1101205
