37 citations · 75 across the 21 of their papers we have counts for
5 papers · 1 filter
Monotone one-port circuits
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. The theory is developed f…
A rolled-off passivity theorem
Thomas Chaffey
Given two nonlinear systems which only violate incremental passivity when their incremental gains are sufficiently small, we give a condition for their negative feedback interconne…
Graphical Nonlinear System Analysis
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. The SRG of a nonlinear opera…
Oscillations in Mixed-Feedback Systems
Amritam Das, Thomas Chaffey, Rodolphe Sepulchre
A new method is presented for the analysis of limit cycle oscillations in mixed-feedback systems. The calculation of the limit cycle is reformulated as the zero finding of a mixed-…
Scaled relative graphs for system analysis
Thomas Chaffey, Fulvio Forni, Rodolphe Sepulchre
Scaled relative graphs were recently introduced to analyze the convergence of optimization algorithms using two dimensional Euclidean geometry. In this paper, we connect scaled rel…