Surjectivity of the asymptotic Borel map in Carleman–Roumieu ultraholomorphic classes defined by regular sequences

We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman–Roumieu ultraholomorphic classes defined by regular sequences in the sense of E. M. Dyn’kin. We extend previous results by J. Schmets and M. Valdivia, by V. Thilliez, and by the authors, and show the prominent role played by an index, associated with the sequence, that was introduced by V. Thilliez. The techniques involve regular variation, integral transforms and characterization results of A. Debrouwere in a half-plane, stemming from his study of the surjectivity of the moment mapping in general Gelfand–Shilov spaces.

Performance index analysis of a six-axis heavy force sensor based on the Stewart platform

A novel six-axis heavy force sensor based on the Stewart platform is proposed. To improve the capability of load bearing, the upper platform and the lower platform of the Stewart platform is fixed to a load sharing beam. Based on the deduced force/moment mapping matrix, the isotropy and sensitivity performance indices of the sensor are analysed comprehensively by employing the performance atlases. Theory analysis and experimental research of the effects of the load sharing beam on the performance indices are conducted. The results show that the change rule of the experiments basically agrees with the curve of theory, which provides necessary references of the theory and experiment for the design of a six-axis heavy force sensor with a large measuring range.