Generalized Morse theory and its applications to control and stability analysis

L. A. Luxemburg, G. Huang

Research output: Contribution to journalArticle

5 Citations (Scopus)


This paper extends Morse theory to noncompact manifolds which is important since in many engineering applications the manifolds involved are usually noncompact. To demonstrate the application, generalized Morse theory is used to estimate the number of unstable equilibria on the stability boundary. The engineering significance of the estimation is explained in the paper.

Original languageEnglish
Pages (from-to)175-209
Number of pages35
JournalCircuits Systems and Signal Processing
Issue number2
Publication statusPublished - 1 Jun 1991


ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics

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