Finite-time stability analysis for linear time-varying singular impulsive systems

Abstract

This paper considers the finite-time stability of linear time-varying singular impulsive systems. A lemma which states an important inequality was first established. Then some sufficient conditions for the systems to be finite-time stable were derived. The proposed results remove some restrictions of the existing methods and thus can be applied to more general systems. Finally, a numerical example was presented to illustrate the proposed approaches. © 2011 Academic Journals.