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Autori principali: Kawano, Yu, Forni, Fulvio
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2508.12141
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author Kawano, Yu
Forni, Fulvio
author_facet Kawano, Yu
Forni, Fulvio
contents This paper presents a new design framework for dynamic output-feedback controllers for Lur'e oscillation in a multiple-input multiple-output setting. We first revisit and extend dominant system theory to state-dependent rates, with the goal of deriving conditions based on linear matrix inequalities. Then, we introduce a separation principle for Lur'e oscillator design, which allows for the independent design of a state-feedback oscillator and an observer. Our proposed control synthesis is demonstrated through the rhythm synchronization in multi-agent systems, illustrating how networks of stable, heterogeneous linear agents can be driven into phase-locked rhythmic behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2508_12141
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization
Kawano, Yu
Forni, Fulvio
Systems and Control
Optimization and Control
This paper presents a new design framework for dynamic output-feedback controllers for Lur'e oscillation in a multiple-input multiple-output setting. We first revisit and extend dominant system theory to state-dependent rates, with the goal of deriving conditions based on linear matrix inequalities. Then, we introduce a separation principle for Lur'e oscillator design, which allows for the independent design of a state-feedback oscillator and an observer. Our proposed control synthesis is demonstrated through the rhythm synchronization in multi-agent systems, illustrating how networks of stable, heterogeneous linear agents can be driven into phase-locked rhythmic behavior.
title Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization
topic Systems and Control
Optimization and Control
url https://arxiv.org/abs/2508.12141