2023/09/14 by Ron Ofir, Jean-Jacques Slotine, Ofir, Ron +3
Mathematics · #FOS: Electrical engineering #Random Matrices and Applications #Stochastic processes and statistical mechanics #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2309.07514
openalex publication_date 2023/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We derive a sufficient condition for k-contraction in a generalized Lurie system~(GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For k=1, this reduces to a sufficient condition for standard contraction. For k=2, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing k-contraction in a biochemical control circuit with nonlinear dissipation terms.