A unification between partial stability of state-dependent impulsive systems and stability theory for time-dependent impulsive systems.

In this paper we present partial stability results; that is, stability with respect to part of the system's state, for nonlinear inipulsive dynamical systems. Using these results we provide a unification between partial stability theory for (autonomous) state-dependent impulsive dynamical systems and stability theory for (nonautonomous) time-dependent impulsive dynamical systems. This unification allows for stability theory of time-dependent impulsive systems to be presented as a special case of partial stability theory for state-dependent impulsive systems.

Main Author: Haddad, Wassim.
Other Authors: Chellaboina, VijaySekhar., Nersesov, Sergey.
Language: English
Published: 2003
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:178283