# Stabilization of affine systems with polytopic control value sets

arXiv: https://arxiv.org/abs/2112.02451 · HTML: https://mlsanity.com/paper/2112.02451/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 4 Dec 2021.

## Built on by (most cited first, 2 of 2)

- [Robust stabilization of polytopic systems via fast and reliable neural network-based approximations](https://mlsanity.com/paper/2204.13209/) (2022)
- [Unifying Controller Design for Stabilizing Nonlinear Systems with Norm-Bounded Control Inputs](https://mlsanity.com/paper/2403.03030/) (2024)

## Abstract (arXiv)

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.