Research

Publications

📄 Journal Papers

1. (Submitted) Optimal Control of Nonconvex Sweeping Processes with Variable Time via Finite-Difference Approximations
   Authors: B. S. Mordukhovich, Nguyen Nang Thieu, Dao Nguyen, Trang Nguyen, T. H. Cao

2. Optimal Control of Several Motion Models,
   Journal of Optimization Theory and Applications, 205(3), 2025
   Authors: Nilson Chapagain, Haejoon Lee, Phung Ngoc Thi, Nguyen Nang Thieu, T. H. Cao
   📌 DOI: 10.1007/s10957-025-02610-x

3. Optimization of Fully Controlled Sweeping Process,
   Journal of Differential Equations, 295 (2021), 138-186
   Authors: G. Colombo, B. S. Mordukhovich, D. Nguyen, T. H. Cao

4. Optimization and Discrete Approximation of Sweeping Process with Controlled Moving Sets and Perturbations,
   Journal of Differential Equations, 274 (2021), 461–509
   Authors: G. Colombo, B. S. Mordukhovich, D. Nguyen, T. H. Cao

5. Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model,
   Discrete & Continuous Dynamical Systems - Series B, 24 (2019), 4191–4216
   Authors: B. S. Mordukhovich, T. H. Cao

6. Optimal Control of a Nonconvex Perturbed Sweeping Process,
   Journal of Differential Equations, 266 (2019), 1003–1050
   Authors: B. S. Mordukhovich, T. H. Cao

7. Optimality Conditions for a Controlled Sweeping Process with Applications to the Crowd Motion Model,
   Discrete & Continuous Dynamical Systems - Series B, 21 (2017), 267-306
   Authors: B. S. Mordukhovich, T. H. Cao
   📌 DOI: 10.3934/dcdsb.2017014

8. Optimal Control of a Perturbed Sweeping Process via Discrete Approximations,
   Discrete & Continuous Dynamical Systems - Series B, 21 (2016), 3331-3358
   Authors: B. S. Mordukhovich, T. H. Cao
   📌 DOI: 10.3934/dcdsb.2016100

9. Crowd Motion Paradigm Modeled by a Bilevel Sweeping Control Problem,
   IEEE Control Systems Letters, Volume 6, 385 - 390
   Authors: Nathalie T. Khalil, B. S. Mordukhovich, Dao Nguyen, Fernando Lobo Pereira, T. H. Cao

10. Optimization of Controlled Free-Time Sweeping Process with Applications to Marine Surface Vehicle Modeling,
    IEEE Control Systems Letters, Volume 6, 782 - 787
    Authors: Nathalie T. Khalil, B. S. Mordukhovich, Dao Nguyen, Trang Nguyen, Fernando Lobo Pereira, T. H. Cao

11. Applications of Controlled Sweeping Processes to Nonlinear Crowd Motion Models with Obstacles,
    IEEE Control Systems Letters, Volume 6, 740 - 745
    Authors: G. Colombo, B. S. Mordukhovich, Dao Nguyen, Trang Nguyen, T. H. Cao

On-going Research

1. Applications of optimal control of a nonconvex sweeping process to optimization of the planar crowd motion model for many participants. 

2. Control of Structured Crowd in a Confined Space.