Assoc. Prof. Le Ba Khiet
Position: Member
Expertise: Applied Mathematics: Optimization and Control
Email: lebakhiet@tdtu.edu.vn
Main Research Directions
+ Non-smooth dynamical systems: optimization and control
+ Variational inequalities and extensions
+ Non-convex optimization
+ Game theory
Achievements
He led scientific research projects, including 2 basic-level projects and 1 international collaborative project, contributing to promoting research activities and expanding academic cooperation.
He published 26 scientific articles in journals listed in the Web of Science (WoS) and Scopus, affirming his research capabilities and international integration.
His outstanding scientific index: H-index = 9 with 222 citations according to the Scopus database, reflecting the recognition of the scientific community for his published research.
He was regularly invited to present at international scientific conferences, with more than 10 invited presentations at conferences held in France, Spain, Chile, and Peru.
He provided postgraduate training, successfully supervising 2 master's students.
He reviewed over 20 international scientific journals, actively contributing to the evaluation and improvement of research quality.
Participated in international research collaborations, including one international research collaboration project, contributing to strengthening academic connections and developing interdisciplinary research directions.
Together with colleagues, developed two new tools in non-convex optimization: R-continuity and Pair Monontonicity, being the first group to examine the stability of important optimization algorithms with computational errors not approaching zero.
Education
2010-2013: PhD in Applied Mathematics at the University of Limoges, France
2009-2010: Master's degree in Applied Mathematics at the University of Orleans, France
2005-2009: Bachelor's degree in Mathematics and Computer Science at the University of Science, Ho Chi Minh City National University; Bachelor of Talented Students program
Experience
2020 - present: Lecturer at Ton Duc Thang University, Vietnam
2017 - 2020: Research Fellow at O’Higgins University, Chile
2013 - 2017: Postdoctoral Researcher at the University of Chile, Chile
Publications
[27] B. K. Le, Boris S. Mordukhovich, M. Théra (2026) Compact R-Continuity with Applications to Solving Inclusions and Convergence of Algorithms, Set-Valued Var. Anal, Volume 34, article number 13.
[26] B. K. Le, M. Théra (2026) Explicit Convergence Rate of the Proximal Point Algorithm under R-Continuity, Evolution Equations and Control Theory. Vol 17, 93-105 (SCIE)
[25] S. Adly, B. K. Le (2025) New General Fixed-Point Approach to Compute the Resolvent of Composite Operators, Optimization. (SCIE) https://doi.org/10.1080/02331934.2025.2559890
[24] B. K. Le, M. N. Dao, M. Théra (2025) Solving Non-Monotone Inclusions Using Monotonicity of Pairs of Operators, J Optim Theory Appl, Vol 207, article number 18 (SCIE)
[23] S. Adly, J. Huang, B. K. Le (2025) Sliding mode observers for set-valued Lur’e systems with uncertainties beyond observational range, Communications in Nonlinear Science and Numerical Simulation, 140 (1), 108325 (SCIE)
[22] S. Adly, M. G. Cojocaru, B. K. Le (2024) State-Dependent Sweeping Processes: Asymptotic Behavior and Algorithmic Approaches, J Optim Theory Appl. Vol 202, 932-948 (SCIE)
[21] B. K. Le (2024) R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming, Journal of Convex Analysis, 31 (1), 243-254 (SCIE)
[20] S. Adly, B. K. Le (2023) Sliding Mode Observer for Set-valued Lur’e Systems and Chattering Removing, Nonlinear Analysis: Hybrid Systems, Vol. 50, November 2023, 101406 (SCIE).
[19] B. K. Le, M. Théra (2023) On a new simple algorithm to compute the resolvents, Optimization Letters, 17, pages 1271–1277 (SCIE)
[18] B. K. Le (2022) Sliding mode observers for time-dependent set-valued Lur'e systems subject to uncertainties, J Optim Theory Appl, 194, 290–305 (SCIE)
[17] S. Adly, B. K. Le (2021) Douglas–Rachford splitting algorithm for solving state-dependent maximal monotone inclusions, Optimization Letters, 15(8), 2861–2878 (SCIE)
[16] B. K. Le (2020) Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions, Optimization, Vol 69(6),1187–1217 (SCIE)
[15] B. K. Le (2020) On a class of Lur'e dynamical systems with statedependent set-valued feedback, Set-Valued Var. Anal 28, 537–557 (SCIE)
[14] B. K. Le (2020) Existence of Solutions for Sweeping Processes with Local Conditions, Journal of Convex Analysis, Vol 27(3), 833–844 (SCIE)
[13] S. Adly, T. Haddad, B. K. Le (2019) State-dependent implicit sweeping process in the framework of quasistatic evolution quasi-variational inequalities, J Optim Theory Appl 182 (2), 473–493 (SCIE)
[12] S. Adly, B. K. Le (2018) Second-order State Dependent Sweeping Process with Unbounded and Non-convex Constraints, Pure and Applied Functional Analysis, Vol. 3 (2), 271–285
[11] S. Adly, B. K. Le (2018) Unbounded State-Dependent Sweeping Processes with Perturbations in Uniformly Convex and q-Uniformly Smooth Banach Spaces, Numerical Algebra, Control and Optimization, Vol 8(1), 81–95 (ESCI)
[10] S. Adly, B. K. Le (2018) On semicoercive sweeping process with velocity constraint, Optimization Letters, Vol 12(4), 831–843 (SCIE)
[9] S. Adly, B. K. Le (2017) Nonconvex Sweeping Processes Involving Maximal Monotone Operators, Vol 66, Iss 9, Pages 1465–1486, Optimization (SCIE)
[8] S. Adly, A. Hantoute, B. K. Le (2017) Maximal Monotonicity and Cyclic-Monotonicity Arising in Nonsmooth Lur'e Dynamical Systems, Journal of Mathematical Analysis and Applications, 448 (1), 691–706 (SCIE)
[7] B. K. Le (2017) On Properties of Differential Inclusions with Prox-regular Sets, Pacific Journal of Optimization, vol. 13 (1), 17–27 (SCIE)
[6] S. Adly, B. K. Le (2016) Unbounded Second Order State Dependent Sweeping Processes in Hilbert Space, Journal of Optimization Theory and Applications, vol. 169, iss. 2, 407–423 (SCIE)
[5] S. Adly, A. Hantoute, B. K. Le (2016) Nonsmooth Lur'e Dynamical Systems in Hilbert Spaces, Set-Valued Var. Anal, vol 24, iss. 1, 13– 35 (SCIE)
[4] S. Adly, B. Brogliato, B. K. Le (2016) Implicit Euler Time-Discretization of a Class of Lagrangian Systems with Set-Valued Robust Controller, Journal of Convex Analysis 23, No. 1, 23–52 (SCIE)
[3] S. Adly, B. K. Le (2014) Stability and invariance results for a class of non-monotone set-valued Lur'e dynamical systems, Applicable Analysis, vol. 93, iss. 5, 1087–1105 (SCIE)
[2] S. Adly, B. Brogliato, B. K. Le (2013) Well-posedness, Robustness and Stability Analysis of a Set- Valued Controller for Lagrangian Systems, SIAM J. Control Optim., 51(2), 1592-1614 (SCIE)
[1] S. Adly, B. K. Le, D. Goeleven (2012) Stability Analysis and Attractivity Results of a DC-DC Buck Converter, Set-Valued and Variational Analysis, vol.20, pp. 331–353 (SCIE)
