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.
Format: Villanova Faculty Authorship
Language: English
Published: 2002
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178274