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20212026
most citedSequential sum-of-squares programming for analysis of nonlinear systems

6 citations · 7 across the 12 of their papers we have counts for

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eess.SY2026

Mission-Centric Requirements Analysis of Model Predictive Control in Spacecraft Rendezvous and Proximity Operations

Nils Maier, Torbjørn Cunis, Tam W. Nguyen

Rendezvous and proximity operations (RPO) missions are commonly designed as a sequence of distinct phases each governed by its own sample time, constraint set, and cost structure,…

math.OC2026

Worst-Case Probability Bounds for Finite-Horizon Safety under Moment Uncertainty

Renato Loureiro, Torbjørn Cunis

This paper addresses the problem of estimating upper bounds on the probability that a dynamical system will enter an undesirable region at some point within a finite time horizon.…

eess.SY2026

Input-to-state Stable Approximate Nonlinear Model Predictive Control with Realtime Feasibility

Jan Olucak, Torbjørn Cunis

In this paper, a computationally lightweight approximate robust nonlinear model predictive control (NMPC) law is proposed based on a pair of input-to-state control Lyapunov functio…

math.OC2026

Sum-of-Squares Stability Verification on Manifolds with Applications in Spacecraft Attitude Control

Fabian Geyer, Friedrich Tuttas, Walter Fichter +1

In the context of spacecraft attitude control, parametrizations such as direction vectors or quaternions are often used to avoid singularities in the attitude representation. This,…

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…