The Whitehead minimization problem consists in finding a minimum size element in the automorphic orbit of a word, a cyclic word or a finitely generated subgroup in a finite rank...
Abstract-- Curves and natural frames can be used for describing and controlling motion in both biological and engineering contexts (e.g., pursuit and formation control). The geomet...
Wigderson and Xiao presented an efficient derandomization of the matrix Chernoff bound using the method of pessimistic estimators [WX08]. Building on their construction, we prese...
Abstract— This paper addresses passivity-based output synchronization and a collision avoidance problem of rigid bodies in the Special Euclidean group SE(3) under the assumption ...
We study a problem of path planning for a group of robots in this paper. The problem is stated as a finding of spatial-temporal paths through which the robots can go from their ini...