In this paper we introduce an algorithm for the synthesis of polynomial Lyapunov functions for polynomial vector fields. The Lyapunov function is a continuous piecewisepolynomial defined on simplices, which compose a collection of simplices. The algorithm is elaborated and crucial features are explained in detail. The strengths and weaknesses of the algorithm are exemplified and a new way of sub-dividing the simplices is presented.
|Title of host publication||Proceedings of the 2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Part of 2016 IEEE Multi-Conference on Systems and Control|
|Number of pages||7|
|Publication status||Published - 2016|
|Event||2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016 - Buenos Aires, Argentina|
Duration: 19. Sep 2016 → 22. Sep 2016
|Conference||2016 IEEE Conference on Computer Aided Control System Design, CACSD 2016|
|Period||19/09/2016 → 22/09/2016|