most citedA Computationally Efficient Hamilton-Jacobi-based Formula for State-Constrained Optimal Control Problems

3 citations · 4 across the 4 of their papers we have counts for

collaborators

5 papers

eess.SY2021

Towards cyber-physical systems robust to communication delays: A differential game approach

Shankar A. Deka, Donggun Lee, Claire J. Tomlin

Collaboration between interconnected cyber-physical systems is becoming increasingly pervasive. Time-delays in communication channels between such systems are known to induce catas…

math.OC2021

Lax Formulae for Efficiently Solving Two Classes of State-Constrained Optimal Control Problems

Donggun Lee, Claire J. Tomlin

This paper presents Lax formulae for solving the following optimal control problems: minimize the maximum (or the minimum) cost over a time horizon, while satisfying a state constr…

math.OC20211 cited

Hamilton-Jacobi Equations for Two Classes of State-Constrained Zero-Sum Games

Donggun Lee, Claire J. Tomlin

This paper presents Hamilton-Jacobi (HJ) formulations for two classes of two-player zero-sum games: one with a maximum cost value over time, and one with a minimum cost value over…

eess.SY20213 cited

A Computationally Efficient Hamilton-Jacobi-based Formula for State-Constrained Optimal Control Problems

Donggun Lee, Claire J. Tomlin

This paper investigates a Hamilton-Jacobi (HJ) analysis to solve finite-horizon optimal control problems for high-dimensional systems. Although grid-based methods, such as the leve…

eess.SY2021

Robust Control Barrier-Value Functions for Safety-Critical Control

Jason J. Choi, Donggun Lee, Koushil Sreenath +2

This paper works towards unifying two popular approaches in the safety control community: Hamilton-Jacobi (HJ) reachability and Control Barrier Functions (CBFs). HJ Reachability ha…