Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization
Systems and Control
2025-08-19 v1 Systems and Control
Optimization and Control
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.
Keywords
Cite
@article{arxiv.2508.12141,
title = {Design of MIMO Lur'e oscillators via dominant system theory with application in multi-agent rhythm synchronization},
author = {Yu Kawano and Fulvio Forni},
journal= {arXiv preprint arXiv:2508.12141},
year = {2025}
}