ON THE NUMBER OF UNSTABLE EQUILIBRIUM POINTS OF A CLASS OF NONLINEAR SYSTEMS.
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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.
author list (cited authors)
Luxemburg, L. A., & Huang, G.