Stabilization of Affine Systems with Polytopic Control Value Sets

Horacio Leyva, Baltazar Aguirre-Hernández, Jesús F. Espinoza*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The objective of this work is to design continuous feedback controls for global asymptotic stabilization (GAS) of affine systems, with control value set given by a convex polytope. 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 such control value set is obtained.

Original languageEnglish
Pages (from-to)1929-1941
Number of pages13
JournalJournal of Dynamical and Control Systems
Issue number4
StatePublished - Oct 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.


  • Admissible function
  • Lyapunov function
  • Stabilization


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