Work

Monotone One-Port Circuits

Year: 2023

Type: article

Abstract: 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.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2023.3274690

Authors: Thomas Chaffey, Rodolphe Sepulchre

Institution: University of Cambridge

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: European Research Council, H2020 European Research Council

Awards: G4977961931, A multi-resolution theory for systems and control across scales