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A globally asymptotically stable polynomial vector field with rational coefficients and no local polynomial Lyapunov function.
- Source :
-
Systems & Control Letters . Nov2018, Vol. 121, p50-53. 4p. - Publication Year :
- 2018
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01676911
- Volume :
- 121
- Database :
- Academic Search Index
- Journal :
- Systems & Control Letters
- Publication Type :
- Academic Journal
- Accession number :
- 132606011
- Full Text :
- https://doi.org/10.1016/j.sysconle.2018.07.013