Original scientific paper

Robust Stability of Singularly Impulsive Dynamical Systems

Nataša A. Kablar ; Lola Institute, Faculty of Computer Science, University of Belgrade, Belgrade, Serbia
Vladimir M. Kvrgić ; Lola Institute, Belgrade, Serbia
Dragutin Lj. Debeljković ; Faculty of Mechanical Engineering, University of Belgrade, Belgrade, Serbia

Abstract

In this paper, we present results of the robust stability analysis for the class of nonlinear uncertain singularly impulsive dynamical systems. We present sufficient conditions for the robust stability of a class of nonlinear uncertain singularly impulsive dynamical systems. The problem of evaluating performance bounds for a nonlinear-nonquadratic hybrid cost functional depending upon a class of nonlinear uncertain singularly impulsive dynamical systems is considered. It turns out that the cost bound can be evaluated in closed form as long as the hybrid cost functional is related in a specific way to an underlying Lyapunov function that guarantees robust stability over a prescribed uncertainty set. Then, results for the case of uncertain singularly impulsive dynamical systems are presented. The results obtained for the nonlinear case are further specialized to linear singularly impulsive dynamical systems.

Keywords

singular systems; singularly impulsive dynamical systems; mathematical model; robust control

Hrčak ID:

141790

URI

https://hrcak.srce.hr/141790

Publication date:

15.7.2015.

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