# Sparse and Switching Infinite Horizon Optimal Control with Mixed-Norm Penalizations

arXiv: https://arxiv.org/abs/1808.10659 · HTML: https://mlsanity.com/paper/1808.10659/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 31 Aug 2018.

## 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 mixed quasi-norms of Lp-type cost functionals for the controls is discussed. These functionals enhance sparsity and switching properties of the optimal controls. The existence of optimal controls and their structural properties are analyzed on the basis of first order optimality conditions. A dynamic programming approach is used for numerical realization.