An example of a GAS system which can be destabilized by an integrable perturbation

Eduardo D. Sontag, Mikhail Krichman

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

A construction of a globally asymptotically stable (GAS) time-invariant system which can be destabilized by an integrable perturbation was presented. Besides its intrinsic interest, this served to provide counterexamples to an open question regarding Lyapunov functions. The original system has convergent spiral trajectories and the coordinate change will be of the accordion type mentioned in the intuitive description.

Original languageEnglish (US)
Pages (from-to)1046-1049
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume48
Issue number6
DOIs
StatePublished - Jun 2003

All Science Journal Classification (ASJC) codes

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

Keywords

  • Asymptotic stability
  • Integrable perturbations
  • Intergral stability

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