4 papers
Hopfield neural networks as port-Hamiltonian and gradient systems
Arjan van der Schaft
The structure of continuous Hopfield networks is revisited from a system-theoretic point of view. After adopting a novel electrical network interpretation involving nonlinear capac…
Singular networks and ultrasensitive terminal behaviors
Alessio Franci, Bart Besselink, Arjan van der Schaft
Negative conductance elements are key to shape the input-output behavior at the terminals of a network through localized positive feedback amplification. The balance of positive an…
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…
Port-Hamiltonian nonlinear systems
Arjan van der Schaft
Control theory often takes the mathematical model of the to-be-control-led system for granted. In contrast, port-Hamiltonian systems theory bridges the gap between modelling and co…