Nonlinear impulsive systems: 2D stability analysis approach

• Autores: Héctor Ríos, Laurentiu Hetel, Denis Efimov
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 80, 2017, págs. 32-40
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Abstract This paper contributes to the stability analysis for nonlinear impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The new method relies on a 2 D time domain representation. Different types of stability notions for a class of nonlinear impulsive systems are studied using a vector Lyapunov function approach. The results are applied to analyze the stability of a class of Lipschitz nonlinear impulsive systems based on Linear Matrix Inequalities. Some numerical examples illustrate the feasibility of the proposed approach.