5 papers · 1 filter
Regular Pairings for Non-quadratic Lyapunov Functions and Contraction Analysis
Anton V. Proskurnikov, Francesco Bullo
Recent studies on stability and contractivity have highlighted the importance of semi-inner products, which we refer to as pairings, associated with general norms. A pairing is a b…
Non-Euclidean Monotone Operator Theory and Applications
Alexander Davydov, Saber Jafarpour, Anton V. Proskurnikov +1
While monotone operator theory is often studied on Hilbert spaces, many interesting problems in machine learning and optimization arise naturally in finite-dimensional vector space…
Stability Properties of the Impulsive Goodwin's Oscillator in 1-cycle
Anton V. Proskurnikov, Alexander Medvedev
The Impulsive Goodwin's Oscillator (IGO) is a mathematical model of a hybrid closed-loop system. It arises by closing a special kind of continuous linear positive time-invariant sy…
Non-Euclidean Contraction Analysis of Continuous-Time Neural Networks
Alexander Davydov, Anton V. Proskurnikov, Francesco Bullo
Critical questions in dynamical neuroscience and machine learning are related to the study of continuous-time neural networks and their stability, robustness, and computational eff…
Optimal Clearing Payments in a Financial Contagion Model
Giuseppe Calafiore, Giulia Fracastoro, Anton V. Proskurnikov
Financial networks are characterized by complex structures of mutual obligations. These obligations are fulfilled entirely or in part (when defaults occur) via a mechanism called c…