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20242026
most citedA Globally Convergent Method for Computing B-stationary Points of Mathematical Programs with Equilibrium Constraints

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math.OC2026

Economic Nonlinear Model Predictive Control for Microgrids with Generator Up and Downtime Constraints

Jürgen Gutekunst, Armin Nurkanovic, Ekaterina Kostina +3

Recently there has been a lot of progress in the development of economic nonlinear model predictive control (NMPC) schemes for multistage optimal power flow (OPF) problems. However…

math.OC2026

CCOpt: an Open-Source Solver for Large-Scale Mathematical Programs with Complementarity Constraints

Anton Pozharskiy, François Pacaud, Moritz Diehl +1

This paper presents the Julia package CCOpt, built on top of the interior-point solver MadNLP. CCOpt implements a suite of algorithms for Mathematical Programs with Complementarity…

math.OC2026

Real-Time Algorithms for Model Predictive Control of Hybrid Dynamical Systems

Armin Nurkanović, Anton Pozharskiy, Moritz Diehl

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous.…

math.OC2026

Local Convergence Results for Sequential Quadratic Programming with Complementarity Constraints

Armin Nurkanović

Mathematical programs with complementarity constraints (MPCCs) are a challenging class of nonlinear optimization problems, because their nonlinear programming reformulations violat…

math.OC2025

An Augmented Lagrangian Method on GPU for Security-Constrained AC Optimal Power Flow

François Pacaud, Armin Nurkanović, Anton Pozharskiy +2

We present a new algorithm for solving large-scale security-constrained optimal power flow in polar form (AC-SCOPF). The method builds on Nonlinearly Constrained augmented Lagrangi…

math.OC2025

A Comparative Study of MINLP and MPVC Formulations for Solving Complex Nonlinear Decision-Making Problems in Aerospace Applications

Andrea Ghezzi, Armin Nurkanović, Avishai Weiss +2

High-level decision-making for dynamical systems often involves performance and safety specifications that are activated or deactivated depending on conditions related to the syste…

math.OC2025

Towards Solutions of Manipulation Tasks via Optimal Control of Projected Dynamical Systems

Anton Pozharskiy, Armin Nurkanović, Moritz Diehl

We introduce a modeling framework for manipulation planning based on the formulation of the dynamics as a projected dynamical system. This method uses implicit signed distance func…

math.OC2025

An Efficient Mixed-Integer Formulation and an Iterative Method for Optimal Control of Switched Systems Under Dwell Time Constraints

Ramin Abbasi-Esfeden, Armin Nurkanovic, Moritz Diehl +2

This paper presents an efficient Mixed-Integer Nonlinear Programming (MINLP) formulation for systems with discrete control inputs under dwell time constraints. By viewing such syst…

math.OC2025★ 1 cited

A Globally Convergent Method for Computing B-stationary Points of Mathematical Programs with Equilibrium Constraints

Armin Nurkanović, Sven Leyffer

This paper introduces a computationally efficient method that converges globally to B-stationary points of mathematical programs with equilibrium constraints (MPECs). B-stationarit…

math.OC2024

First-Order Sweeping Processes and Extended Projected Dynamical Systems: Equivalence, Time-Discretization and Numerical Optimal Control

Anton Pozharskiy, Armin Nurkanović, Moritz Diehl

Constrained dynamical systems are systems such that, by some means, the state stays within a given set. Two such systems are the (perturbed) Moreau sweeping process and the recentl…