85 citations · 102 across the 14 of their papers we have counts for
5 papers · 2 filters
Running Primal-Dual Gradient Method for Time-Varying Nonconvex Problems
Yujie Tang, Emiliano Dall'Anese, Andrey Bernstein +1
This paper considers a nonconvex optimization problem that evolves over time, and addresses the synthesis and analysis of regularized primal-dual gradient methods to track a Karush…
Inner Approximation of Minkowski Sums: A Union-Based Approach and Applications to Aggregated Energy Resources
Md Salman Nazir, Ian A. Hiskens, Andrey Bernstein +1
This paper develops and compares algorithms to compute inner approximations of the Minkowski sum of convex polytopes. As an application, the paper considers the computation of the…
Online Optimization as a Feedback Controller: Stability and Tracking
Marcello Colombino, Emiliano Dall'Anese, Andrey Bernstein
This paper develops and analyzes feedback-based online optimization methods to regulate the output of a linear time-invariant (LTI) dynamical system to the optimal solution of a ti…
Asynchronous and Distributed Tracking of Time-Varying Fixed Points
Andrey Bernstein, Emiliano Dall'Anese
This paper develops an algorithmic framework for tracking fixed points of time-varying contraction mappings. Analytical results for the tracking error are established for the cases…
Online Primal-Dual Methods with Measurement Feedback for Time-Varying Convex Optimization
Andrey Bernstein, Emiliano Dall'Anese, Andrea Simonetto
This paper addresses the design and analysis of feedback-based online algorithms to control systems or networked systems based on performance objectives and engineering constraints…