ON THE NUMBER OF UNSTABLE EQUILIBRIUM POINTS OF A CLASS OF NONLINEAR SYSTEMS. Conference Paper

abstract

• Results on the stability region of a class of nonlinear systems and the number of equilibrium points on its boundary are derived. Concepts such as general position and regularity of stability regions are developed. Based on these two conditions, together with the general topological arguments, the lower bound and upper bound on the number of unstable equilibrium points are obtained. These bounds can be used to estimate the computational load required to construct the stability boundary.

authors

• Huang, Garng

published proceedings

• Proceedings of the IEEE Conference on Decision and Control

author list (cited authors)

• Luxemburg, L. A., & Huang, G.

complete list of authors

• Luxemburg, LA||Huang, G

publication date

• December 1987

published in

• IEEE Conference on Decision and Control  Journal

start page

• 889

end page

• 894