Title :
Decision surface estimate of nonlinear system stability domain by Lie series method
Author :
Kormanik, J. ; Li, C.C.
Author_Institution :
University of Pittsburg, Pittsburg, PA, USA
fDate :
10/1/1972 12:00:00 AM
Abstract :
The Lie series recursive algorithm for Zubov´s partial differential equation is used to generate two sets of points, where one represents the exact asymptotic stability boundary of an equilibrium state of the nonlinear system under consideration and the other is interior to it. Based on these two sets of data as training samples of two classes, a decision hypersurface can be determined such that it is a close approximation of the asymptotic stability boundary.
Keywords :
Asymptotic stability; Decision procedures; Lie series; Lyapunov functions; Nonlinear systems, continuous-time; Pattern recognition; Asymptotic stability; Chemicals; Differential equations; Frequency response; Lyapunov method; NASA; Nonlinear systems; Partial differential equations; Power system dynamics; Senior members;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1972.1100088
