Artículo
Nonrobustness of asymptotic stability of impulsive systems with inputs
Fecha de publicación:
09/2020
Editorial:
Pergamon-Elsevier Science Ltd
Revista:
Automatica
ISSN:
0005-1098
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Suitable continuity and boundedness assumptions on the function f defining the dynamics of a time-varying nonimpulsive system with inputs are known to make the system inherit stability properties from the zero-input system. Whether this type of robustness holds or not for impulsive systems was still an open question. By means of suitable (counter)examples, we show that such stability robustness with respect to the inclusion of inputs cannot hold in general, not even for impulsive systems with time-invariant flow and jump maps. In particular, we show that zero-input global uniform asymptotic stability (0-GUAS) does not imply converging input converging state (CICS), and that 0-GUAS and uniform bounded-energy input bounded state (UBEBS) do not imply integral input-to-state stability (iISS). We also comment on available existing results that, however, show that suitable constraints on the allowed impulse–time sequences indeed make some of these robustness properties possible.
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Articulos(CIFASIS)
Articulos de CENTRO INT.FRANCO ARG.D/CS D/L/INF.Y SISTEM.
Articulos de CENTRO INT.FRANCO ARG.D/CS D/L/INF.Y SISTEM.
Citación
Haimovich, Hernan; Mancilla Aguilar, Jose Luis; Nonrobustness of asymptotic stability of impulsive systems with inputs; Pergamon-Elsevier Science Ltd; Automatica; 122; 109238; 9-2020; 1-9
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