Authors: Hernan Haimovich; José L. Mancilla-Aguilar; Paula Cardone.
Title: A characterization of strong iISS for time-varying impulsive systems.
Resumen: For general time-varying or switched (nonlinear) systems, converse Lyapunov theorems for stability are not available. In these cases, the integral input-to-state stability (iISS) property is not equivalent to the existence of an iISS-Lyapunov function but can still be characterized as the combination of global uniform asymptotic stability under zero input (0-GUAS) and uniformly bounded energy input-bounded state (UBEBS). For impulsive systems, asymptotic stability can be weak (when the asymptotic decay depends only on elapsed time) or strong (when such a decay depends also on the number of impulses that occurred). This paper shows that the mentioned characterization of iISS remains valid for time-varying impulsive systems, provided that stability is understood in the strong sense.
Meeting type: Congreso.
Type of job: Artículo Completo.
Production: A characterization of strong iISS for time-varying impulsive systems.
Scientific meeting: XVIII Reunión de Trabajo en Procesamiento de la Información y Control - RPIC 2019.
Meeting place: Bahía Blanca.
It's published?: Yes
Publication place: Bahía Blanca
Meeting month: 9