Research

Publications

Journal Papers

  1. (with Nilson Chapagain, Kangmin Cho, Jinwoo Choi, Sinae Hong, Abhishek Kafle, Haejoon Lee, Hansol Lim, Biniam Markos, Jiung Seo, Phung Ngoc Thi, Nguyen Nang Thieu) Optimal Control of Several Motion Models, submitted.

  2. (with G. Colombo, B. S. Mordukhovich, and D. Nguyen) Optimization of Fully Controlled Sweeping Process, J. Diff. Eqs, 295 (2021), 138-186.

  3. (with G. Colombo, B. S. Mordukhovich, and D. Nguyen) Optimization and discrete approximation of sweeping process with controlled moving sets and perturbations, J. Diff. Eqs.; 274 (2021), 461–509.

  4. (with B. S. Mordukhovich) Applications of optimal control of a nonconvex sweeping process to optimization of the planar crowd motion model, Disc. Cont. Dyn. Syst., Ser B, 24 (2019), 4191–4216.

  5. (with B. S. Mordukhovich) Optimal control of a nonconvex perturbed sweeping process, J. Diff. Eqs.; 266 (2019), 1003–1050.

  6. (with B.S. Mordukhovich) Optimality conditions for a controlled sweeping process with applications to the crowd motion model, Disc. Cont. Dyn. Syst., Ser B, 21 (2017), 267-306; DOI:10.3934/dcdsb.2017014.

  7. (with B. S. Mordukhovich) Optimal control of a perturbed sweeping process via discrete approximations (pdf), Disc. Cont. Dyn. Syst. Ser. B, 21 (2016), 3331-3358; DOI 10.3934/dcdsb.2016100.

  8. (with Nathalie T. Khalil, Boris S. Mordukhovich, Dao Nguyen, and Fernando Lobo Pereira) Crowd motion paradigm modeled by a bilevel sweeping control problem, IEEE Control Systems Letters, Volume 6, 385 - 390.

  9. (with Nathalie T. Khalil, Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen, and Fernando Lobo Pereira) Optimization of controlled free-time sweeping process with applications to marine surface vehicle modeling, IEEE Control Systems Letters, Volume 6, 782 - 787.

  10. (with Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen, and Trang Nguyen) Applications of controlled sweeping processes to nonlinear crowd motion models with obstacles, IEEE Control Systems Letters , Volume 6, 740 - 745.


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.