# Joint Chance Constrained Optimal Control via Linear Programming

arXiv: https://arxiv.org/abs/2402.19360 · HTML: https://mlsanity.com/paper/2402.19360/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 29 Feb 2024.

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

- [Joint Chance Constrained Safe-Optimal Control](https://mlsanity.com/paper/2606.30829/) (2026)

## Abstract (arXiv)

We establish a linear programming formulation for the solution of joint chance constrained optimal control problems over finite time horizons. The joint chance constraint may represent an invariance, reachability or reach-avoid specification that the trajectory must satisfy with a predefined probability. For finite state and action spaces, the solution is exact and our method computationally superior to approaches in the literature. For continuous state or action spaces, our linear programming formulation enables basis function approximations.