Integral input-to-state stability of delay systems based on Lyapunov-Krasovskii functionals with point-wise dissipation rate - Archive ouverte HAL Access content directly
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Integral input-to-state stability of delay systems based on Lyapunov-Krasovskii functionals with point-wise dissipation rate

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Antoine Chaillet
Pierdomenico Pepe

Abstract

We show that a Lyapunov-Krasovskii functional whose dissipation rate involves solely the current instantaneous value of the state norm is enough to guarantee integral inputto-state stability (iISS). This result generalizes existing sufficient conditions for iISS, where the dissipation rate involves the whole Lyapunov-Krasovskii functional itself, and simplifies their applicability. Moreover, it provides a more natural bridge with the classical condition for global asymptotic stability of input-free systems. The proof strategy we employ relies on a novel characterization of global asymptotic stability, which may be of interest on its own.
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Dates and versions

hal-03114579 , version 1 (19-01-2021)

Identifiers

  • HAL Id : hal-03114579 , version 1

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Antoine Chaillet, Pierdomenico Pepe. Integral input-to-state stability of delay systems based on Lyapunov-Krasovskii functionals with point-wise dissipation rate. 57th IEEE Conference on Decision and Control (CDC), Dec 2018, Miami, United States. ⟨hal-03114579⟩
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