Title :
A globally asymptotically stable polynomial vector field with no polynomial Lyapunov function
Author :
Ahmadi, Amir Ali ; Krstic, Miroslav ; Parrilo, Pablo A.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Massachusetts Inst. of Technol., Cambridge, MA, USA
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.
Keywords :
Lyapunov methods; asymptotic stability; polynomials; globally asymptotically stable polynomial vector field; polynomial Lyapunov function; two-dimensional polynomial vector field; Asymptotic stability; Conferences; Lyapunov methods; Polynomials; Stability analysis; Trajectory; Vectors;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161499
