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A generalization of Poincare's theorem to hybrid and impulsive dynamical systems | IEEE Conference Publication | IEEE Xplore

A generalization of Poincare's theorem to hybrid and impulsive dynamical systems


Abstract:

Poincare's method is well known for analyzing the stability of continuous-time dynamical systems with periodic solutions by studying the stability properties of a fixed p...Show More

Abstract:

Poincare's method is well known for analyzing the stability of continuous-time dynamical systems with periodic solutions by studying the stability properties of a fixed point as an equilibrium point of a discrete-time system. In this paper we generalize Poincare'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.
Date of Conference: 08-10 May 2002
Date Added to IEEE Xplore: 07 November 2002
Print ISBN:0-7803-7298-0
Print ISSN: 0743-1619
Conference Location: Anchorage, AK, USA

References

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