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Erschienen in:
Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms Kapitel lesen Erstes Kapitel lesen

2021 | OriginalPaper | Buchkapitel

16. On a Lyapunov Characterization of Input-To-State Stability for Impulsive Systems with Unstable Continuous Dynamics

verfasst von : Petro Feketa, Alexander Schaum, Thomas Meurer

Erschienen in: Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics

Verlag: Springer International Publishing

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Abstract

This chapter studies the input-to-state stability (ISS) property for nonlinear control systems with impulsive jumps at fixed moments. Sufficient conditions for the ISS are formulated in terms of a candidate ISS-Lyapunov function equipped with nonlinear rate functions which characterize the evolution of this function along the discontinuous trajectories of the system. For the case of unstable continuous dynamics, we derive new sufficient conditions for ISS under average-type dwell-time that provide a lower bound for the frequency of stabilizing jumps sufficient for the ISS.

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Vorheriges Kapitel Uniform Global Attractor for a Class of Nonautonomous Evolution Hemivariational Inequalities with Multidimensional “Reaction-Velocity” Law
Nächstes Kapitel Practical Stability of Discrete Systems: Maximum Sets of Initial Conditions Concept
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Metadaten
Titel
On a Lyapunov Characterization of Input-To-State Stability for Impulsive Systems with Unstable Continuous Dynamics
verfasst von
Petro Feketa
Alexander Schaum
Thomas Meurer
Copyright-Jahr
2021
Buch
Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics

Print ISBN: 978-3-030-50301-7

Electronic ISBN: 978-3-030-50302-4

Copyright-Jahr: 2021

DOI
https://doi.org/10.1007/978-3-030-50302-4_16