English

Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems

Optimization and Control 2021-12-01 v1

Abstract

We present a 'calculator' for constructing a homogeneous approximation of nonlinear control systems, which is based on the algebraic approach developed by the authors in their previous papers. This approach mainly uses linear algebraic and combinatorial tools, so, it is perfectly adapted to computer realization. We describe the algorithm and discuss its capabilities and limitations. We present its implementation as a web application and show by example how this app works.

Keywords

Cite

@article{arxiv.2111.15314,
  title  = {Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems},
  author = {Grigory Sklyar and Pavel Barkhayev and Svetlana Ignatovich and Viktor Rusakov},
  journal= {arXiv preprint arXiv:2111.15314},
  year   = {2021}
}
R2 v1 2026-06-24T07:57:32.913Z