no code implementations • 9 Apr 2024 • Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre
Splitting algorithms are well-established in convex optimization and are designed to solve large-scale problems.
no code implementations • 18 Mar 2024 • Yongkang Huo, Thomas Chaffey, Rodolphe Sepulchre
The paper introduces a kernel-based framework to model and identify time-invariant systems with the fading memory property.
no code implementations • 9 Aug 2022 • Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
The Scaled Relative Graph (SRG) is a generalization of the Nyquist diagram that may be plotted for nonlinear operators, and allows nonlinear robustness margins to be defined graphically.
no code implementations • 9 Aug 2022 • Rodolphe Sepulchre, Thomas Chaffey, Fulvio Forni
Following the seminal work of Zames, the input-output theory of the 70s acknowledged that incremental properties (e. g. incremental gain) are the relevant quantities to study in nonlinear feedback system analysis.
no code implementations • 4 Apr 2022 • Thomas Chaffey, Alberto Padoan
The analogy in linear circuit theory is a chain of series/parallel one-ports: the port behavior is a continued fraction containing the port behaviors of its elements.
no code implementations • 30 Mar 2022 • Weiming Che, Thomas Chaffey, Fulvio Forni
We propose a new analog feedback controller based on the classical cross coupled electronic oscillator.
1 code implementation • 30 Nov 2021 • Thomas Chaffey, Rodolphe Sepulchre
Maximal monotonicity is explored as a generalization of the linear theory of passivity, aiming at an algorithmic input/output analysis of physical models.
no code implementations • 23 Jul 2021 • Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
We use the recently introduced concept of a Scaled Relative Graph (SRG) to develop a graphical analysis of input-output properties of feedback systems.
no code implementations • 30 Mar 2021 • Amritam Das, Thomas Chaffey, Rodolphe Sepulchre
The calculation of the limit cycle is reformulated as the zero finding of a mixed-monotone relation, that is, of the difference of two maximally monotone relations.
no code implementations • 25 Mar 2021 • Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
Scaled relative graphs were recently introduced to analyze the convergence of optimization algorithms using two dimensional Euclidean geometry.
no code implementations • 21 Dec 2020 • Thomas Chaffey, Rodolphe Sepulchre
The circuit-theoretic origins of maximal monotonicity are revisited using modern optimization algorithms for maximal monotone operators.
