English

Stabilization of affine systems with polytopic control value sets

Optimization and Control 2022-07-01 v2

Abstract

The objective of this document is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control restricted to a compact and convex set (CVS). This stabilization problem is solved based on a design of a feedback function restricted to the hyperbox and obtained by means of the CLF theory. By "normalizing" this feedback, the continuous stabilizer restricted to CVS is obtained.

Keywords

Cite

@article{arxiv.2112.02451,
  title  = {Stabilization of affine systems with polytopic control value sets},
  author = {Horacio Leyva and B. Aguirre-Hernández and Jesús F. Espinoza},
  journal= {arXiv preprint arXiv:2112.02451},
  year   = {2022}
}

Comments

12 pages and 4 images. Style corrections, explanations extended and some changes in the general structure

R2 v1 2026-06-24T08:04:31.592Z