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A characterization of iISS for time-varying impulsive systems

Haimovich, Hernán et al · RI ITBA · 2019

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Author / responsible party
Haimovich, Hernán et al
Publisher
RI ITBA
Year
2019
Language
English

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"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 asymptotic stability 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."

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APA 7

Haimovich, H. E. A. (2019). A characterization of iISS for time-varying impulsive systems. RI ITBA. http://ri.itba.edu.ar/handle/20.500.14769/1621

MLA

Haimovich, Hernán et al. A characterization of iISS for time-varying impulsive systems. RI ITBA, 2019. http://ri.itba.edu.ar/handle/20.500.14769/1621.

Chicago

Haimovich, Hernán et al. 2019. A characterization of iISS for time-varying impulsive systems. RI ITBA. http://ri.itba.edu.ar/handle/20.500.14769/1621.

Harvard

Haimovich, H. E. A. 2019, A characterization of iISS for time-varying impulsive systems, RI ITBA, available at: http://ri.itba.edu.ar/handle/20.500.14769/1621 [Accessed 7 Aug. 2026].

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Title
A characterization of iISS for time-varying impulsive systems
Author / contributors
Haimovich, Hernán et al
Publisher
RI ITBA
Publication year
2019
Language
English

Subjects

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ESTABILIDAD; SISTEMAS NO LINEALES; METODO LYAPUNOV
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