A generalization of Poincare's Theorem to hybrid and impulsive dynamical systems.
Poincark's method is well known for analyzing the stability of continuous-time dynamical systems with periodic solutions by stud ing the stability properties of a fixed point as an equiligrium point of a discrete-time system. In this paper we generalize Poincark's method to dynamical systems possessing left-continuous flows to address the stability of limit cycles and periodic orbits of left-continuous, hybrid, and impulsive dynamical systems.
|Main Author:||Nersesov, Sergey.|
|Other Authors:||Chellaboina, VijaySekhar., Haddad, Wassim.|