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arXiv · 2508.12141

Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization

Yu Kawano·Fulvio Forni
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Abstract

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.

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Yu Kawano, Fulvio Forni. 2025-08-16. Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization. https://arxiv.org/abs/2508.12141

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