%0 Journal Article
%T SINGULARLY IMPULSIVE DYNAMICAL SYSTEMS WITH TIME DELAY: MATHEMATICAL MODEL AND STABILITY
%A Debeljkovi£¿
%A Dragutin Lj.
%A Kablar
%A Nata£¿a A.
%A Kvrgi£¿
%A Vladimir
%J -
%D 2013
%X Sa£¿etak In this paper we introduce a new class of systems, the so-called singularly impulsive or generalized impulsive dynamical systems with time delay. Dynamics of these systems is characterized by a set of differential and difference equations with time delay, and by algebraic equations. They represent a class of hybrid systems where algebraic equations represent constraints that differential and difference equations with time delay need to satisfy. In this paper we present a model, assumptions about the model, and two classes of singularly impulsive dynamical systems with delay ¨C time-dependent and state-dependent. Further, we present the Lyapunov and asymptotic stability theorems for nonlinear time-dependent and state-dependent singularly impulsive dynamical systems with time delay
%K singular systems
%K singularly impulsive dynamical systems
%K time delay
%K mathematical model
%K stability
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=164027