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math.OC2026
On the Practical Implementation of a Sequential Quadratic Programming Algorithm for Nonconvex Sum-of-squares Problems
Jan Olucak, Torbjørn Cunis
Sum-of-squares (SOS) optimization provides a computationally tractable framework for certifying polynomial nonnegativity. If the considered problem is convex, the SOS problem can b…
math.OC2025
Safe-by-Design: Approximate Nonlinear Model Predictive Control with Real Time Feasibility
Jan Olucak, Arthur Castello B. de Oliveira, Torbjørn Cunis
This paper proposes a computationally lightweight, continuous-time receding-horizon nonlinear model predictive control (MPC) approach with infinitesimal prediction horizon. Unlike…
math.OC2024
CaΣoS: A nonlinear sum-of-squares optimization suite
Torbjørn Cunis, Jan Olucak
We present CaoS, the first MATLAB software specifically designed for nonlinear sum-of-squares optimization. A symbolic polynomial algebra system allows to formulate parametrized…