4 papers
Periodic Event-Triggered Explicit Reference Governor for Constrained Attitude Control on SO(3)
Satoshi Nakano, Masahiro Suzuki, Misa Ohashi +2
This letter addresses the constrained attitude control problem for rigid bodies directly on the special orthogonal group SO(3), avoiding singularities associated with parameterizat…
Class field theory for function fields and finite abelian torsors
Bryden Cais, Shusuke Otabe
Let be a smooth and connected curve over an algebraically closed field of positive characteristic, with smooth compactification . We generalize classical Geometric Class Fie…
On retract rationality for finite connected group schemes
Shusuke Otabe
In the present paper, we prove the retract rationality of the classifying spaces for several types of finite connected group schemes over algebraically closed fields of po…
The tame fundamental group schemes of curves in positive characteristic
Shusuke Otabe
The tame fundamental group scheme for an algebraic variety is the maximal linearly reductive quotient of Nori's fundamental group scheme. In this paper, we study the tame fundament…