52 citations · 111 across the 30 of their papers we have counts for
5 papers · 1 filter
Proximal Gradient Dynamics: Monotonicity, Exponential Convergence, and Applications
Anand Gokhale, Alexander Davydov, Francesco Bullo
In this letter we study the proximal gradient dynamics. This recently-proposed continuous-time dynamics solves optimization problems whose cost functions are separable into a nonsm…
Exponential Stability of Parametric Optimization-Based Controllers via Lur'e Contractivity
Alexander Davydov, Francesco Bullo
In this letter, we investigate sufficient conditions for the exponential stability of LTI systems driven by controllers derived from parametric optimization problems. Our primary f…
Perspectives on Contractivity in Control, Optimization, and Learning
Alexander Davydov, Francesco Bullo
Contraction theory is a mathematical framework for studying the convergence, robustness, and modularity properties of dynamical systems and algorithms. In this opinion paper, we pr…
On Weakly Contracting Dynamics for Convex Optimization
Veronica Centorrino, Alexander Davydov, Anand Gokhale +2
We analyze the convergence behavior of \emph{globally weakly} and \emph{locally strongly contracting} dynamics. Such dynamics naturally arise in the context of convex optimization…
Learning Neural Contracting Dynamics: Extended Linearization and Global Guarantees
Sean Jaffe, Alexander Davydov, Deniz Lapsekili +2
Global stability and robustness guarantees in learned dynamical systems are essential to ensure well-behavedness of the systems in the face of uncertainty. We present Extended Line…