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HAIMOVICH Hernan
congresos y reuniones científicas
Título:
A Characterization of iISS for Time-Varying Impulsive Systems
Autor/es:
HERNAN HAIMOVICH; JOSÉ L. MANCILLA-AGUILAR
Lugar:
Buenos Aires
Reunión:
Congreso; 26 Congreso Argentino de Control Automático; 2018
Institución organizadora:
AADECA
Resumen:
Most of the existing characterizations of the integral input-to-state stability (iISS) property are not suitable for time-varying or switched (nonlinear) systems. Previous work by the authors has shown that in such cases where converse Lyapunov theorems for stability are not available, iISS-Lyapunov functions may not exist. In these cases, the iISS property can still be characterized as the combination of global uniform asymptoticstability under zero input (0-GUAS) and uniformly bounded energy input-bounded state (UBEBS). This paper shows that such a characterization remains valid for time-varying impulsive systems, under an appropriate condition on the number of impulse times on each finite time interval.