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