activity
20152026
most citedSecond-order Online Nonconvex Optimization

37 citations · 118 across the 13 of their papers we have counts for

collaborators

14 papers

math.OC2026

Copositive Characterizations of Convex Hull Pricing

Madhusudan Ghosh, Antoine Lesage-Landry, Joshua Adam Taylor

Due to the nonconvex binary constraints of unit commitment (UC), no uniform linear pricing scheme supports the optimal dispatch. Convex hull pricing (CHP) and copositive duality pr…

math.OC2022

Optimal Active Fault Detection in Inverter-Based Grids

Mohammad Pirani, Mehdi Hosseinzadeh, Joshua A. Taylor +1

Ground faults in converter-based grids can be difficult to detect because, unlike in grids with synchronous machines, they often do not result in large currents. One recent strateg…

math.OC2022★ 3 cited

Optimally Scheduling Public Safety Power Shutoffs

Antoine Lesage-Landry, Félix Pellerin, Joshua A. Taylor +1

In an effort to reduce power system-caused wildfires, utilities carry out public safety power shutoffs (PSPS) in which portions of the grid are de-energized to mitigate the risk of…

math.OC2021★ 6 cited

Copositive Duality for Discrete Markets and Games

Cheng Guo, Merve Bodur, Joshua A. Taylor

Optimization problems with discrete decisions are nonconvex and thus lack strong duality, which limits the usefulness of tools such as shadow prices and the KKT conditions. It was…

math.OC2020★ 14 cited

Online Convex Optimization with Binary Constraints

Antoine Lesage-Landry, Joshua A. Taylor, Duncan S. Callaway

We consider online optimization with binary decision variables and convex loss functions. We design a new algorithm, binary online gradient descent (bOGD) and bound its expected dy…

math.OC2020★ 37 cited

Second-order Online Nonconvex Optimization

Antoine Lesage-Landry, Joshua A. Taylor, Iman Shames

We present the online Newton's method, a single-step second-order method for online nonconvex optimization. We analyze its performance and obtain a dynamic regret bound that is lin…

math.OC2019

Attack Resilient Interconnected Second Order Systems: A Game-Theoretic Approach

Mohammad Pirani, Joshua A. Taylor, Bruno Sinopoli

This paper studies the resilience of second-order networked dynamical systems to strategic attacks. We discuss two widely used control laws, which have applications in power networ…

math.OC2019★ 21 cited

Predictive Online Convex Optimization

Antoine Lesage-Landry, Iman Shames, Joshua A. Taylor

We incorporate future information in the form of the estimated value of future gradients in online convex optimization. This is motivated by demand response in power systems, where…

eess.SY2018★ 5 cited

Estimating the Frequency Coupling Matrix from Network Measurements

Antoine Lesage-Landry, Siyu Chen, Joshua A. Taylor

Power converters are present in increasing numbers in the electric power grid. They are a major source of harmonic currents and voltages, which can reduce power quality and trip pr…

math.OC2017★ 23 cited

Setpoint Tracking with Partially Observed Loads

Antoine Lesage-Landry, Joshua A. Taylor

We use online convex optimization (OCO) for setpoint tracking with uncertain, flexible loads. We consider full feedback from the loads, bandit feedback, and two intermediate types…

math.OC2017

Coupling Load-Following Control with OPF

Mohammadhafez Bazrafshan, Nikolaos Gatsis, Ahmad Taha +1

In this paper, the optimal power flow (OPF) problem is augmented to account for the costs associated with the load-following control of a power network. Load-following control cost…

eess.SY2015★ 1 cited

Power Systems Without Fuel

Joshua Adam Taylor, Sairaj V. Dhople, Duncan S. Callaway

The finiteness of fossil fuels implies that future electric power systems may predominantly source energy from fuel-free renewable resources like wind and solar. Evidently, these p…

math.OC2015★ 7 cited

Phase Balancing Using Energy Storage in Power Grids under Uncertainty

Sun Sun, Ben Liang, Min Dong +1

Phase balancing is essential to safe power system operation. We consider a substation connected to multiple phases, each with single-phase loads, generation, and energy storage. A…

cs.GT2015★ 1 cited

Price and capacity competition in balancing markets with energy storage

Josh A. Taylor, Johanna L. Mathieu, Duncan S. Callaway +1

Energy storage can absorb variability from the rising number of wind and solar power producers. Storage is different from the conventional generators that have traditionally balanc…