A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function

Amir Ali Ahmadi, Bachir El Khadir

Research output: Contribution to journalArticle

Abstract

We give an explicit example of a two-dimensional polynomial vector field of degree seven that has rational coefficients, is globally asymptotically stable, but does not admit an analytic Lyapunov function even locally.

Original languageEnglish (US)
Pages (from-to)50-53
Number of pages4
JournalSystems and Control Letters
Volume121
DOIs
StatePublished - Nov 1 2018

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Lyapunov functions
Polynomials

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science(all)

Cite this

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abstract = "We give an explicit example of a two-dimensional polynomial vector field of degree seven that has rational coefficients, is globally asymptotically stable, but does not admit an analytic Lyapunov function even locally.",
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A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function. / Ahmadi, Amir Ali; El Khadir, Bachir.

In: Systems and Control Letters, Vol. 121, 01.11.2018, p. 50-53.

Research output: Contribution to journalArticle

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AU - El Khadir, Bachir

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