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eess.SY2026
State-space fading memory
Gustave Bainier, Antoine Chaillet, Rodolphe Sepulchre +1
The fading-memory (FM) property captures the progressive loss of influence of past inputs on a system's current output and has originally been formalized by Boyd and Chua in an ope…
eess.SY2025
From Consensus to Robust Clustering: Multi-Agent Systems with Nonlinear Interactions
Anthony Couthures, Gustave Bainier, Vineeth Satheeskumar Varma +2
This paper establishes a theoretical framework to describe the transition from consensus to stable clustering in multi-agent systems with nonlinear, cooperative interactions. We fi…
eess.SY2025
Directional excitability in Hilbert spaces
Gustave Bainier, Alessio Franci
We introduce a generalized excitable system in which spikes can happen in a continuum of directions, therefore drastically enriching the expressivity and control capability of the…