Abstract
In this work, we study minimal realization problem for an affine control system [Formula: see text] on a connected Lie group [Formula: see text]. We construct a minimal realization by using a canonical projection and by characterizing indistinguishable points of the system.
Keywords
Realization (probability)
Affine transformation
Mathematics
Lie group
Pure mathematics
Minimal realization
Construct (python library)
Affine representation
Projection (relational algebra)
Algebra over a field
Affine Lie algebra
Computer science
Mathematical analysis
Algorithm
Linear system
Subject Areas
Advanced Differential Equations and Dynamical Systems
·Geometry and Topology ·Physical Sciences
Adaptive Control of Nonlinear Systems
·Control and Systems Engineering ·Physical Sciences
Control and Dynamics of Mobile Robots
·Control and Systems Engineering ·Physical Sciences
OpenAlex SDG Match
SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).
Reduced inequalities 56%
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