A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function

Amir Ali Ahmadi, Miroslav Krstic, Pablo A. Parrilo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

36 Scopus citations

Abstract

We give a simple, explicit example of a two-dimensional polynomial vector field that is globally asymptotically stable but does not admit a polynomial Lyapunov function.

Original languageEnglish (US)
Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Pages7579-7580
Number of pages2
DOIs
StatePublished - Dec 1 2011
Externally publishedYes
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
Duration: Dec 12 2011Dec 15 2011

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1112/15/11

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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    Ahmadi, A. A., Krstic, M., & Parrilo, P. A. (2011). A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 7579-7580). [6161499] (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2011.6161499