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A characterization of strong iISS for time-varying impulsive systems

Haimovich, Hernán
; 
Mancilla-Aguilar, J. L.
; 
Cardone, Paula
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Ponencia en congreso
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Abstract
"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. "
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2019-09
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SISTEMAS NO LINEALES, ESTABILIDAD, METODO LYAPUNOV, SISTEMAS TIEMPO VARIANTES
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http://ri.itba.edu.ar/handle/20.500.14769/1921
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