Practical Stability of Singularly Impulsive Dynamical Systems: Bellman - Gronwall Approach

ABSTRACT: In this paper we present new model of singularly impulsive dynamical systems. Dynamics of this system is characterized by the set of differential, difference, and algebraic equations. They represent the class of hybrid systems, where algebraic equations represent constraints that differential and difference equations need to satisfy. For the class of singularly impulsive dynamical systems we state and prove Bellman-Gronwall lemma. Furthermore, using BellmanGronwall lemma for the class of singularly impulsive dynamical systems we present stability results