k-Contraction in a Generalized Lurie System

• 成果类型: Article
• 署名作者: Ofir, Ron; Slotine, Jean-Jacques; Margaliot, Michael
• 署名单位: Tel Aviv University; Massachusetts Institute of Technology (MIT); Massachusetts Institute of Technology (MIT); Tel Aviv University; Tel Aviv University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3510516
• 发表日期: 2025
• 页码: 3394-3401
• 关键词: Compounds; vectors; Eigenvalues and eigenfunctions; Sufficient conditions; stability analysis; asymptotic stability; Linear systems; Integrated circuit interconnections; Symmetric matrices; STANDARDS; Compound matrices; contracting systems; networked systems; Riemannian metric; STABILITY

摘要

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.