publications

2026

1. AMOP

   Convergence and Stability of a Catching-Up Algorithm for Differential Inclusions with Maximal Monotone Operators

   Tan H. Cao and Hassan Saoud

   Applied Mathematics and Optimization, 2026

   Under review

   Bib

   @article{cao2026catching,
     title = {Convergence and Stability of a Catching-Up Algorithm for Differential Inclusions with Maximal Monotone Operators},
     author = {Cao, Tan H. and Saoud, Hassan},
     journal = {Applied Mathematics and Optimization},
     year = {2026},
     note = {Under review},
   }

2. NAHS

   Optimal Control of Nonconvex Sweeping Processes with Variable Time via Finite-Difference Approximations

   Tan H. Cao, Boris S. Mordukhovich, Dao Nguyen, and 2 more authors

   Nonlinear Analysis: Hybrid Systems, 2026

   Accepted

   Bib

   @article{cao2026variable,
     title = {Optimal Control of Nonconvex Sweeping Processes with Variable Time via Finite-Difference Approximations},
     author = {Cao, Tan H. and Mordukhovich, Boris S. and Nguyen, Dao and Nguyen, Trang and Thieu, Nguyen Nang},
     journal = {Nonlinear Analysis: Hybrid Systems},
     year = {2026},
     note = {Accepted},
   }

2025

1. JOTA

   Optimal Control of Several Motion Models

   Tan H. Cao, Nilson Chapagain, Kangmin Cho, and 3 more authors

   Journal of Optimization Theory and Applications, 2025

   Bib HTML

   @article{cao2025several,
     title = {Optimal Control of Several Motion Models},
     author = {Cao, Tan H. and Chapagain, Nilson and Cho, Kangmin and Lee, Haejoon and Phung, Thi Ngoc and Thieu, Nguyen Nang},
     journal = {Journal of Optimization Theory and Applications},
     volume = {205},
     number = {3},
     year = {2025},
   }

2021

1. IEEE-CSL

   Crowd Motion Paradigm Modeled by a Bilevel Sweeping Control Problem

   Tan H. Cao, Nathalie T. Khalil, Boris S. Mordukhovich, and 2 more authors

   IEEE Control Systems Letters, 2021

   Bib

   @article{cao2021crowd,
     title = {Crowd Motion Paradigm Modeled by a Bilevel Sweeping Control Problem},
     author = {Cao, Tan H. and Khalil, Nathalie T. and Mordukhovich, Boris S. and Nguyen, Dao and Pereira, Fernando Lobo},
     journal = {IEEE Control Systems Letters},
     volume = {6},
     pages = {385--390},
     year = {2021},
   }

2. IEEE-CSL

   Optimization of Controlled Free-Time Sweeping Process with Applications to Marine Surface Vehicle Modeling

   Tan H. Cao, Nathalie T. Khalil, Boris S. Mordukhovich, and 3 more authors

   IEEE Control Systems Letters, 2021

   Bib

   @article{cao2021marine,
     title = {Optimization of Controlled Free-Time Sweeping Process with Applications to Marine Surface Vehicle Modeling},
     author = {Cao, Tan H. and Khalil, Nathalie T. and Mordukhovich, Boris S. and Nguyen, Dao and Nguyen, Trang and Pereira, Fernando Lobo},
     journal = {IEEE Control Systems Letters},
     volume = {6},
     pages = {782--787},
     year = {2021},
   }

3. IEEE-CSL

   Applications of Controlled Sweeping Processes to Nonlinear Crowd Motion Models with Obstacles

   Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich, and 2 more authors

   IEEE Control Systems Letters, 2021

   Bib

   @article{cao2021obstacles,
     title = {Applications of Controlled Sweeping Processes to Nonlinear Crowd Motion Models with Obstacles},
     author = {Cao, Tan H. and Colombo, Giovanni and Mordukhovich, Boris S. and Nguyen, Dao and Nguyen, Trang},
     journal = {IEEE Control Systems Letters},
     volume = {6},
     pages = {740--745},
     year = {2021},
   }

4. JDE

   Optimization of Fully Controlled Sweeping Processes

   Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich, and 1 more author

   Journal of Differential Equations, 2021

   Bib

   @article{cao2021fully,
     title = {Optimization of Fully Controlled Sweeping Processes},
     author = {Cao, Tan H. and Colombo, Giovanni and Mordukhovich, Boris S. and Nguyen, Dao},
     journal = {Journal of Differential Equations},
     volume = {295},
     pages = {138--186},
     year = {2021},
   }

5. JDE

   Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations

   Tan H. Cao, Giovanni Colombo, Boris S. Mordukhovich, and 1 more author

   Journal of Differential Equations, 2021

   Bib

   @article{cao2021discrete,
     title = {Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations},
     author = {Cao, Tan H. and Colombo, Giovanni and Mordukhovich, Boris S. and Nguyen, Dao},
     journal = {Journal of Differential Equations},
     volume = {274},
     pages = {461--509},
     year = {2021},
   }

2019

1. DCDS-B

   Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model

   Tan H. Cao and Boris S. Mordukhovich

   Discrete and Continuous Dynamical Systems, Series B, 2019

   Bib

   @article{cao2019applications,
     title = {Applications of Optimal Control of a Nonconvex Sweeping Process to Optimization of the Planar Crowd Motion Model},
     author = {Cao, Tan H. and Mordukhovich, Boris S.},
     journal = {Discrete and Continuous Dynamical Systems, Series B},
     volume = {24},
     pages = {4191--4216},
     year = {2019},
   }

2. JDE

   Optimal Control of a Nonconvex Perturbed Sweeping Process

   Tan H. Cao and Boris S. Mordukhovich

   Journal of Differential Equations, 2019

   Bib

   @article{cao2019nonconvex,
     title = {Optimal Control of a Nonconvex Perturbed Sweeping Process},
     author = {Cao, Tan H. and Mordukhovich, Boris S.},
     journal = {Journal of Differential Equations},
     volume = {266},
     pages = {1003--1050},
     year = {2019},
   }

2017

1. DCDS-B

   Optimality Conditions for a Controlled Sweeping Process with Applications to the Crowd Motion Model

   Tan H. Cao and Boris S. Mordukhovich

   Discrete and Continuous Dynamical Systems, Series B, 2017

   Bib

   @article{cao2017optimality,
     title = {Optimality Conditions for a Controlled Sweeping Process with Applications to the Crowd Motion Model},
     author = {Cao, Tan H. and Mordukhovich, Boris S.},
     journal = {Discrete and Continuous Dynamical Systems, Series B},
     volume = {21},
     pages = {267--306},
     year = {2017},
   }

2016

1. DCDS-B

   Optimal Control of a Perturbed Sweeping Process via Discrete Approximations

   Tan H. Cao and Boris S. Mordukhovich

   Discrete and Continuous Dynamical Systems, Series B, 2016

   Bib

   @article{cao2016discrete,
     title = {Optimal Control of a Perturbed Sweeping Process via Discrete Approximations},
     author = {Cao, Tan H. and Mordukhovich, Boris S.},
     journal = {Discrete and Continuous Dynamical Systems, Series B},
     volume = {21},
     number = {10},
     year = {2016},
   }