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

L. A. Luxemburg, Garng Morton Huang

Research output: Contribution to journalConference article

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)889-894
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1 Dec 1987
Externally publishedYes

Fingerprint

Stability Region
Equilibrium Point
Nonlinear systems
Nonlinear Systems
Unstable
Regularity
Lower bound
Upper bound
Estimate
Class
Concepts

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

ON THE NUMBER OF UNSTABLE EQUILIBRIUM POINTS OF A CLASS OF NONLINEAR SYSTEMS. / Luxemburg, L. A.; Huang, Garng Morton.

In: Proceedings of the IEEE Conference on Decision and Control, 01.12.1987, p. 889-894.

Research output: Contribution to journalConference article

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