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

Natasa Kablar, Vladimir Kvrgi´c, Dragutin Lj. Debeljkovi´c

Abstract


In this paper we present new model of singularly impulsive dynamical systems. Dynamics of this systemis 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 classof singularly impulsive dynamical systems we state and prove Bellman-Gronwall lemma. Furthermore, using Bellman-Gronwall lemma for the class of singularly impulsive dynamical systems we present stability results.

 


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