Title :
Finite regions of attraction for feedback systems containing a single time-varying nonlinearity
Author :
Walker, J.A. ; McClamroch, N.H.
Author_Institution :
Northwestern University, Evanston, IL, USA
fDate :
10/1/1968 12:00:00 AM
Abstract :
Finite regions of attraction of the origin are obtained for feedback systems involving a time-varying nonlinear feedback element. One type of region is found for cases in which the nonlinearity is well known in some given neighborhood of the origin, and another is determined for the more general cases in which the nonlinearity is only known to satisfy certain "sector conditions" in a similar given neighborhood.
Keywords :
Nonlinear systems, time-varying; Nonlinearities; Time-varying systems, nonlinear; Asymptotic stability; Control systems; Feedback; Polynomials; Symmetric matrices; Time varying systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1968.1098983
