Monotone One-Port Circuits

• 成果类型: Article
• 署名作者: Chaffey, Thomas; Sepulchre, Rodolphe
• 署名单位: University of Cambridge; KU Leuven
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3274690
• 发表日期: 2024
• 页码: 783-796
• 关键词: Integrated circuit interconnections; Resistors; RLC circuits; Linear systems; voltage; Transfer functions; Integrated circuit modeling; Circuit theory; Convex Optimization; monotone operators; Nonlinear systems

摘要

Maximal monotonicity is explored as a generalization of the linear theory of passivity, aiming at an algorithmic input/output analysis of physical models. The theory is developed for maximal monotone one-port circuits, formed by the series and parallel interconnection of basic elements. These circuits generalize passive linear, time-invariant (LTI) transfer functions. Periodic input signals are shown to be mapped to periodic output signals, and these input-output behaviors can be efficiently computed using a maximal monotone splitting algorithm, which decomposes the computation according to the circuit topology. A new splitting algorithm is presented, which applies to any monotone one-port circuit defined as a port interconnection of monotone elements.