Some properties of Lyapunov function sets

• Autores: E. Moulay
• Localización: Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 11, 2010, págs. 4067-4073
• Idioma: inglés
• DOI: 10.1090/s0002-9939-2010-10298-8
• Enlaces
  • Texto completo (pdf)
• Resumen

  • The purpose of this paper is to study some geometrical and topological properties of Lyapunov function sets. These functions are very useful in control theory to solve stability problems. We focus our attention on the set of Lyapunov functions associated with continuous and discontinuous nonlinear systems.