Saved in:
Bibliographic Details
Main Authors: Kawano, Yu, Forni, Fulvio
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.12141
Tags: Add Tag
No Tags, Be the first to tag this record!
Table of 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.