3 papers
math.OC2025
Distributed Nonconvex Optimization with Exponential Convergence Rate via Hybrid Systems Methods
Katherine R. Hendrickson, Dawn M. Hustig-Schultz, Matthew T. Hale +1
We present a hybrid systems framework for distributed multi-agent optimization in which agents execute computations in continuous time and communicate in discrete time. The optimiz…
math.OC2022
Uniting Nesterov and Heavy Ball Methods for Uniform Global Asymptotic Stability of the Set of Minimizers
Dawn M. Hustig-Schultz, Ricardo G. Sanfelice
We propose a hybrid control algorithm that guarantees fast convergence and uniform global asymptotic stability of the unique minimizer of a continuously differentiable, convex obje…
math.OC2021
Exponentially Converging Distributed Gradient Descent with Intermittent Communication via Hybrid Methods
Katherine Hendrickson, Dawn Hustig-Schultz, Matthew Hale +1
We present a hybrid systems framework for multi-agent optimization in which agents execute computations in continuous time and communicate in discrete time. The optimization algori…