Mathematical optimization is one of the cornerstones of modern engineering research and
practice. Yet, throughout all application domains, mathematical optimization is, for the most …

Optimization underpins many of the challenges that science and technology face on a daily
basis. Recent years have witnessed a major shift from traditional optimization paradigms …

This article considers online optimization with a finite prediction window of cost functions
and additional switching costs on the decisions. We study the fundamental limits of dynamic …

In this paper, a scalable distributed online algorithm is proposed for solving optimal power
flow (OPF) in real time. The operation of distribution systems can be continuously driven …

We study optimal distributed first-order optimization algorithms when the network (ie,
communication constraints between the agents) changes with time. This problem is …

Inspired by classical sensitivity results for nonlinear optimization, we derive and discuss new
quantitative bounds to characterize the solution map and dual variables of a parametrized …

While projected dynamical systems (PDS) are mathematically well-defined and useful for
modeling dynamics for constrained optimization and variational inequalities, their physical …

This paper is concerned with solving online nonconvex optimization problems using simple
gradient-based algorithms with an arbitrary initialization. The main objective is to understand …

In this paper we study how high-gain anti-windup schemes can be used to implement
projected dynamical systems in control loops that are subject to saturation on a (possibly …

To the shortage of automatic generation control (AGC) resources in power systems with high
proportions of renewable generators, this paper proposes an optimal-tracking control …