Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
A Note on the Equivalence of Control Systems on Lie Groups
Authors: Rory Biggs, Claudiu C. Remsing
– 0.15 Mb
Abstract
We consider state space equivalence and (a specialization of) feedback equivalence in the context of left-invariant control affine systems. Simple algebraic characterizations of both local and global forms of these equivalence relations are obtained. Several illustrative examples regarding the classification of systems on low-dimensional Lie groups are discussed in some detail.Rory Biggs
Department of Mathematics and Applied Mathematics
University of Pretoria
0083 Hartfield, South Africa
E-mail:
Claudiu C.Remsing
Department of Mathematics
Rhodes University
6140 Grahamstown, South Africa
E-mail:
Department of Mathematics and Applied Mathematics
University of Pretoria
0083 Hartfield, South Africa
E-mail:
Claudiu C.Remsing
Department of Mathematics
Rhodes University
6140 Grahamstown, South Africa
E-mail:
Fulltext
– 0.15 Mb
Contents
- Semi-symmetric isotopic closure of some group varieties and the corresponding identities
- Factorizations in the rings of the block matrices
- Inclusion Properties of Certain Subclass of Univalent Meromorphic Functions Defined by a Linear Operator Associated with the $\lambda$-Generalized Hurwitz-Lerch Zeta Function
- Interpolating Bézier spline surfaces with local control
- A Note on the Equivalence of Control Systems on Lie Groups
- Viscous flow through a porous medium filled by liquid with varying viscosity
- Invariant conditions of stability of unperturbed motion governed by some differential systems in the plane
- A Note on 2-Hypersurfaces of the Nearly Kählerian Six-Sphere
- Post-quantum No-key Protocol
- Some estimates for angular derivative at the boundary
