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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.…
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…