Walknet comprises an artificial neural network that allows for the simulation of a
considerable amount of behavioral data obtained from walking and standing stick insects. It …

Over the past few years, the applications of dual-quaternions have not only developed in
many different directions but has also evolved in exciting ways in several areas. As dual …

In this paper, we give a beginners guide to the practicality of using dual-quaternions to
represent the rotations and translations in character-based hierarchies. Quaternions have …

The problem of powered descent guidance and control for autonomous precision landing for
next-generation planetary missions is addressed. The precision landing algorithm aims to …

Despite substantial advances in many different fields of neurorobotics in general, and
biomimetic robots in particular, a key challenge is the integration of concepts: to collate and …

This paper reveals the differences and similarities between two popular unified
representations, ie the UDQ (unit dual quaternion) and the HTM (homogeneous …

Moving in a cluttered environment with a six-legged walking machine that has additional
body actuators, therefore controlling 22 DoFs, is not a trivial task. Already simple forward …

Conventional control of robotic manipulators requires prior knowledge of their kinematic
structure. Model-learning controllers have the advantage of being able to control robots …

Control of a perturbed satellite formation antenna array, with dual quaternion dynamics, is
considered. The perturbations and their derivatives are assumed bounded with unknown …

Abstract Hyper-Dual Quaternions, HDQ, are first introduced in this paper. Utilizing the Hyper-
Dual Numbers, HDN, Dual Quaternions, DQ, and hyper-dual angle, the general expression …