[en] This work presents a sum-of-squares method to construct polynomial surface Lyapunov functions (SuLF) of arbitrary order for the impact maps of limit cycles in piecewise linear systems (PLS). This work extends previous results on stability analysis of such limit cycles, which utilized quadratic SuLFs. This paper also discusses an initial study of hierarchical jump linear systems where the switching is driven by feedback of low-level dynamical system states and a Markovian process.
Disciplines :
Ingénierie, informatique & technologie: Multidisciplinaire, généralités & autres
Auteur, co-auteur :
Spanos, D.
GONCALVES, Jorge ; University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB)
Langue du document :
Anglais
Titre :
Finding surface Lyapunov functions through sum-of-squares Programming
Date de publication/diffusion :
2004
Nom de la manifestation :
American Control Conference, 2004
Lieu de la manifestation :
Boston, Etats-Unis
Date de la manifestation :
June 30 - July 2, 2004
Titre de l'ouvrage principal :
Proceedings of the American Control Conference 2004
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S. Prajna, A. Papachristodoulou, Analysis of Switched and Hybrid Systems - Beyond Piecewise Quadratic Methods, Proceedings of American Control Conference 2003
S. Prajna, A. Papachristodoulou, P. Parrilo SOSTOOLS: Sum of Squares Optimization Toolbox for MATLAB, 2002
, Y. Tsypkin,Relay Control Systems, Cambridge University Press, Cambridge UK, 1984
