Research

• Set-theoretic methods for control and estimation
• Reachability analysis and verification
• Mixed-integer set representations and optimization

Publications

1. J.A. Robbins, A.F. Thompson, J.J. Glunt, and H.C. Pangborn, "Hybrid System Planning using a Mixed-Integer ADMM Heuristic and Hybrid Zonotopes," 2026. [arXiv] 
2. A.F. Thompson, J.A. Robbins, J.J. Glunt, S.B. Brennan, and H.C. Pangborn, "Motion Planning with Metric Temporal Logic Using Reachability Analysis and Hybrid Zonotopes," 2026. [arXiv] 
3. N. Narri, J.J. Glunt, J.A. Robbins, J. Mårtensson, H.C. Pangborn, and K.H. Johansson, "Shared Situational Awareness Using Hybrid Zonotopes with Confidence Metric," 2025. [arXiv]
4. J.J. Glunt, J.A. Robbins, D. Silvestre, and H.C. Pangborn, "Sharp Hybrid Zonotopes: Set Operations and the Reformulation-linearization Technique," IEEE Control Systems Letters, 2025.
5. J.J. Glunt, J.A. Siefert, A.F. Thompson, J. Ruths, and H.C. Pangborn, "Automated Functional Decomposition for Hybrid Zonotope Over-approximations with Application to LSTM Networks," American Control Conference, 2025. [arXiv]
6. J. Chen, J.J. Glunt, J. Koeln, H.C. Pangborn, and J. Ruths, "Lipschitz Constants of Hybrid Zonotope Representations of Feedforward Neural Networks, " American Control Conference, 2025.
7. J.A. Siefert, T.J. Bird, A.F. Thompson, J.J. Glunt, J.P. Koeln, N. Jain, and H.C. Pangborn, “Reachability Analysis of Nonlinear Systems Using Hybrid Zonotopes and Functional Decomposition," IEEE Transactions on Automatic Control, 2025.
8. J.J. Glunt, J.A. Siefert, A.F. Thompson, and H.C. Pangborn, “Error Bounds for Compositions of Piecewise Affine Approximations,” IFAC Conference on Analysis and Design of Hybrid Systems, 2024.
9. J.J. Glunt, J.A. Siefert, H.C. Pangborn, and S.B. Brennan, "Challenges in Integrating Low-level Path Following and High-level Path Planning Over Polytopic Maps," Modeling, Estimation and Control Conference, 2023.
10. J.A. Siefert, A.F. Thompson, J.J. Glunt, and H.C Pangborn, “Set-valued State Estimation Using Hybrid Zonotopes,"  IEEE Conference on Decision and Control, 2023.