On Incremental Input-to-State Stability of interconnected discrete-time systems

In this technical communique, the properties of interconnected Incrementally Input-to-State Stable ( δ ISS) discrete-time systems are studied. In particular, a small gain theorem for δ ISS systems with feedback connection is derived with two formulations: one based on the definition of δ ISS, and one based on δ ISS-Lyapunov functions.

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Publication Details

Journal
Automatica
Published
2025-06-07
DOI
https://doi.org/10.1016/j.automatica.2025.112406
Primary Topic
Control and Stability of Dynamical Systems
Type
article
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On Incremental Input-to-State Stability of interconnected discrete-time systems

Lalo Magni, Irene Schimperna
Automatica
Control and Stability of Dynamical Systems
article

On Incremental Input-to-State Stability of interconnected discrete-time systems

Lalo Magni, Irene Schimperna
article en

Abstract

In this technical communique, the properties of interconnected Incrementally Input-to-State Stable ( δ ISS) discrete-time systems are studied. In particular, a small gain theorem for δ ISS systems with feedback connection is derived with two formulations: one based on the definition of δ ISS, and one based on δ ISS-Lyapunov functions.

AutomaticaVol. 179
University of Pavia (IT)
Openalex Percentile: Top 86%
Control and Stability of Dynamical Systems
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On Incremental Input-to-State Stability of interconnected discrete-time systems — Lalo Magni, Irene Schimperna · Automatica (2025) | TGRS Research Map | TGRS