4 papers
Quasi-static shape control of soft, morphing structures
Eszter Fehér, András Árpád Sipos, Péter Várkonyi
Inspired by biological systems, we introduce a general framework for quasi-static shape control of human-scale structures under slowly varying external actions or requirements. In…
Centroids and equilibrium points of convex bodies
Zsolt Lángi, Péter L. Várkonyi
The aim of this note is to survey the results in some geometric problems related to the centroids and the static equilibrium points of convex bodies. In particular, we collect resu…
All paths admit trajectoids
Péter L. Várkonyi
In a recent paper published in Nature, Y.I. Sobolev et al. introduced the concept of trajectoids: convex, rigid objects, which roll without slip or spin on a flat plane along a pre…
Lyapunov stability analysis of rigid body systems with multiple contacts by sums-of-squares programming
Péter L. Várkonyi
Reliable quasi-static object manuipulation and robotic locomotion require verification of the stability of equilibria under rigid contacts and friction. In a recent paper, M. Posa,…