Abstract

It is well known that integral input-to-output stability(IIOS) is weaker than input-to -output stability(IOS).In this paper,IIOS problems for one class of discontinuous dynamical systems are considered.Piecewise smooth IIOS-Lyapunov functions are adopted.Furthermore,interconnecti ons of discontinuous dynamical systems are studied.The results for a class of discontinuous dynam ical systems and interconnection of discontinuous dynamical systems' IIOS character are shown,res pectively.

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