Generalized Morse theory and its applications to control and stability analysis

L. A. Luxemburg, Garng Morton Huang

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume10
Issue number2
DOIs
Publication statusPublished - 1 Jun 1991
Externally publishedYes

Fingerprint

Morse Theory
Stability Analysis
Noncompact Manifold
Engineering Application
Unstable
Engineering
Estimate
Demonstrate

ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics

Cite this

Generalized Morse theory and its applications to control and stability analysis. / Luxemburg, L. A.; Huang, Garng Morton.

In: Circuits Systems and Signal Processing, Vol. 10, No. 2, 01.06.1991, p. 175-209.

Research output: Contribution to journalArticle

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