# Infinite horizon sparse optimal control

arXiv: https://arxiv.org/abs/1602.08931 · HTML: https://mlsanity.com/paper/1602.08931/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 Feb 2016.

## Built on by (most cited first, 1 of 1)

- [Sparsity in long-time control of neural ODEs](https://mlsanity.com/paper/2102.13566/) (2021)

## Abstract (arXiv)

A class of infinite horizon optimal control problems involving Lp-type cost functionals with 0<p≤ 1 is discussed. The existence of optimal controls is studied for both the convex case with p=1 and the nonconvex case with 0<p<1, and the sparsity structure of the optimal controls promoted by the Lp-type penalties is analyzed. A dynamic programming approach is proposed to numerically approximate the corresponding sparse optimal controllers.