6 papers · 1 filter
Kernel Modelling of Fading Memory Systems
Yongkang Huo, Thomas Chaffey, Rodolphe Sepulchre
The paper is a follow-up of the recently introduced kernel-based framework to identify nonlinear input-output systems regularized by desirable input-output incremental properties.…
Operator-Splitting Methods for Neuromorphic Circuit Simulation
Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre
A novel splitting algorithm is proposed for the numerical simulation of neuromorphic circuits. The algorithm is grounded in the operator-theoretic concept of monotonicity, which be…
An Operator-Theoretic Framework to Simulate Neuromorphic Circuits
Amir Shahhosseini, Thomas Chaffey, Rodolphe Sepulchre
Splitting algorithms are well-established in convex optimization and are designed to solve large-scale problems. Using such algorithms to simulate the behavior of nonlinear circuit…
Graphical Dominance Analysis for Linear Systems: A Frequency-Domain Approach
Chao Chen, Thomas Chaffey, Rodolphe Sepulchre
We propose a frequency-domain approach to dominance analysis for multi-input multi-output (MIMO) linear time-invariant systems. The dominance of a MIMO system is defined to be the…
Amplitude response and square wave describing functions
Thomas Chaffey, Fulvio Forni
An analog of the describing function method is developed using square waves rather than sinusoids. Static nonlinearities map square waves to square waves, and their behavior is cha…
Symmetry in linear physical systems
Arjan van der Schaft, Rodolphe Sepulchre, Tom Chaffey
Physical systems with symmetry arise abundantly in applications, and are endowed with interesting mathematical structures. The present paper focusses on linear reciprocal and input…