# Jump Law of Co-State in Optimal Control for State-Dependent Switched Systems and Applications

arXiv: https://arxiv.org/abs/2209.12775 · HTML: https://mlsanity.com/paper/2209.12775/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 26 Sep 2022.

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

- [A Model-Free Optimal Control Method With Fixed Terminal States and Delay](https://mlsanity.com/paper/2409.10722/) (2024)

## Abstract (arXiv)

This paper presents the jump law of co-states in optimal control for state-dependent switched systems. The number of switches and the switching modes are assumed to be known a priori. A proposed jump law is rigorously derived by theoretical analysis and illustrated by simulation results. An algorithm is then proposed to solve optimal control for state-dependent hybrid systems. Through numerical simulations, we further show that the proposed approach is more efficient than existing methods in solving optimal control for state-dependent switched systems.