Uniform input-to-state stability for switched and time-varying impulsive systems

Mancilla-Aguilar, J. L. et al · RI ITBA · 2022

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Author / responsible party

Mancilla-Aguilar, J. L. et al

Publisher

RI ITBA

Year

2022

ISSN

0018-9286

ISSN

0018-9286

Language

English

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"We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well established philosophy of assessing the stability of a system by reducing the problem to that of the stability of a scalar system given by the evolution of the Lyapunov function on the system trajectories. This reduction is performed in such a way that the resulting scalar system has no inputs. Novel sufficient conditions for ISS are provided, which generalize existing results for time-invariant and time-varying, switched and nonswitched, impulsive and nonimpulsive systems in several directions."

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APA 7

Mancilla-Aguilar, J. L. E. A. (2022). Uniform input-to-state stability for switched and time-varying impulsive systems. http://ri.itba.edu.ar/handle/20.500.14769/3874

MLA

Mancilla-Aguilar, J. L. et al. "Uniform input-to-state stability for switched and time-varying impulsive systems." 2022. http://ri.itba.edu.ar/handle/20.500.14769/3874.

Chicago

Mancilla-Aguilar, J. L. et al. 2022. "Uniform input-to-state stability for switched and time-varying impulsive systems.". http://ri.itba.edu.ar/handle/20.500.14769/3874.

Harvard

Mancilla-Aguilar, J. L. E. A. 2022, Uniform input-to-state stability for switched and time-varying impulsive systems, RI ITBA, available at: http://ri.itba.edu.ar/handle/20.500.14769/3874 [Accessed 7 Aug. 2026].

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Title: Uniform input-to-state stability for switched and time-varying impulsive systems

Author / contributors: Mancilla-Aguilar, J. L. et al

Publisher: RI ITBA

Publication year: 2022

ISSN: 0018-9286

ISSN: 0018-9286

Language: English

Subjects

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SISTEMAS HIBRIDOS; SISTEMAS DE CONMUTACION; FUNCIONES DE LYAPUNOV; SISTEMAS TIEMPO VARIANTES; CRITERIO DE ESTABILIDAD