37 citations · 75 across the 21 of their papers we have counts for
6 papers · 1 filter
Circuit Analysis using Monotone+Skew Splitting
Thomas Chaffey, Sebastian Banert, Pontus Giselsson +1
It is shown that the behavior of an -port circuit of maximal monotone elements can be expressed as a zero of the sum of a maximal monotone operator containing the circuit elemen…
Loop Shaping with Scaled Relative Graphs
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 graphi…
On the incremental form of dissipativity
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 non…
Splitting algorithms and circuit analysis
Thomas Chaffey, Amritam Das, Rodolphe Sepulchre
The splitting algorithms of monotone operator theory find zeros of sums of relations. This corresponds to solving series or parallel one-port electrical circuits, or the negative f…
Circuit Model Reduction with Scaled Relative Graphs
Thomas Chaffey, Alberto Padoan
Continued fractions are classical representations of complex objects (for example, real numbers) as sums and inverses of simpler objects (for example, integers). The analogy in lin…
Analog cross coupled controller for oscillations: modeling and design via dominant system theory
Weiming Che, Thomas Chaffey, Fulvio Forni
We propose a new analog feedback controller based on the classical cross coupled electronic oscillator. The goal is to drive a linear passive plant into oscillations. We model the…