A Counterexample on a Theorem by Tsolas et al. and an Independent Result by Zaborszky et al.

John Zaborszky, Garng Huang, Baohua Zheng

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

Recent results on the composition of the stability boundary claimed that it consisted of the stable manifolds of index 1 unstable equilibria and their closures. A counterexample shows the potential existence of additional structures within the boundary. This finding invalidates numerous theorems published in the literature.

Original languageEnglish
Pages (from-to)316-317
Number of pages2
JournalIEEE Transactions on Automatic Control
Volume33
Issue number3
DOIs
Publication statusPublished - Mar 1988

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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