Emergent Mind
A Globally Asymptotically Stable Polynomial Vector Field with Rational Coefficients and no Local Polynomial Lyapunov Function
(1803.06087)
Published Mar 16, 2018
in
math.OC
,
cs.SY
,
and
math.DS
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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