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Publications

Journal publications

  1. Average cost minimization problem subject to state constraints (with P. Bettiol). SIAM Journal on Control and Optimization (SICON) (2024)

  2. A non-regular mixed constrained problem involving sweeping processes (with A.P. Aguiar and K.L. Cortez). IEEE Control Systems Letters (2024)

  3. A sweeping process control problem subject to mixed constraints (with K.L. Cortez and J.E. Solis). Accepted in IFAC-PaperOnLine (2023)

  4. A maximum principle for state-constrained optimal sweeping control problems (with F.L. Pereira). IEEE Control Systems Letters (2022)

  5. State Constraints, Higher Order Inward Pointing Conditions, and Neighboring Feasible Trajectories (with G. Colombo and F. Rampazzo). SIAM Journal on Control and Optimization (SICON) (2022)

  6. A maximum principle for a time-optimal bilevel sweeping control problem (with F.L. Pereira). Journal of Optimization Theory and Applications (2022)

  7. Crowd motion paradigm modeled by a bilevel sweeping control problem (with T.H. Cao, B.S. Mordukhovich, D. Nguyen, F.L. Pereira). IEEE Control Systems Letters (2021)

  8. Optimization of controlled free-time sweeping processes with applications to marine surface vehicle modeling (with T.H. Cao, B.S. Mordukhovich, D. Nguyen, T. Nguyen, F.L. Pereira). IEEE Control Systems Letters (2021)

  9. Necessary conditions of optimality for a time-optimal bi-level sweeping control problem (with F.L. Pereira). IFAC-PapersOnLine, vol. 53, no. 2, 6831-6836, 2020

  10. Necessary conditions of optimality in the Gamkrelidze’s form for state constrained problems with differential inclusion (with F.L. Pereira). IEEE Control Systems Letters, vol. 4, no. 4, 958-963 ( 2020)

  11. An indirect method for regular state constrained optimal control problems in flow fields (with R. Chertovskih, D. Karamzin, and F.L. Pereira), IEEE Transactions on Automatic Control (2020)

  12. Regular path-constrained time-optimal control problems in three-dimensional flow fields (with R. Chertovskih, D. Karamzin, and F.L. Pereira),  European Journal of Control (2020)

  13. Necessary optimality conditions for average cost minimization problems (with P. Bettiol), Discrete & Continuous Dynamical Systems - Series B, vol. 24, no. 5, 2093-2124 (2019)

  14. Normality of necessary optimality conditions for calculus of variations problems with state constraints (with S.O. Lopes), Set-Valued and Variational Analysis (2018)

  15. Normality of generalized Euler-Lagrange conditions for state constrained optimal control problems (with P. Bettiol and R.B. Vinter), Journal of Convex Analysis, vol. 23, no. 1, 291-311 (2016)

Book chapters

  1. Time-Optimal control problem with state constraints in a time-periodic flow field (with R. Chertovskih and F.L. Pereira). In Jacimovic M., Khachay M., Malkova V., Posypkin M. (eds) Optimization and Applications. OPTIMA 2019. Communications in Computer and Information Science, vol. 1145. Springer, Cham (2020)

  2. Non-degenerate forms of the generalized Euler–Lagrange condition for state-constrained optimal control problems: In Imaging and Geometric Control (with P. Bettiol), Radon Series on Computational and Applied Mathematics, vol. 18, de Gruyter (2017)

Conference publications with peer review

  1. A non-regular mixed constrained problem involving sweeping processes (with A.P. Aguiar and K.L. Cortez). 2024 American Control Conference (ACC), Toronto, Canada

  2. Necessary conditions of optimality in the Gamkrelidze’s form for general dynamic control systems with state and mixed constraints (with F.L. Pereira). 2021 American Control Conference (ACC), New Orleans, Louisiana USA

  3. A framework for the control of bilevel sweeping processes (with F.L. Pereira), 2019 IEEE 58th Conference on Decision and Control (CDC), Nice, France, 6175-6180.

  4. Path-constrained trajectory time-optimization in a three-dimensional steady flow field (with R. Chertovskih, D. Karamzin, and F.L. Pereira), 2019 18th European Control Conference (ECC), Naples, Italy, 3746-3751.

  5. An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow (with R. Chertovskih, D. Karamzin, and F.L. Pereira), 2018 IEEE/OES Autonomous Underwater Vehicle Workshop (AUV), Porto Portugal

Ph.D. Thesis

Title: Optimality conditions for optimal control problems and applications.
Advisor: Prof. Piernicola Bettiol

Papers in preparation

  1.  Barrier functions vs. sweeping processes: a comparative analysis of concepts and methodologies. (with A. Pedro Aguiar)

  2. Necessary optimality conditions in the Gamkrelidze’s form for differential inclusion problems with pure and mixed constraints under weak regularity conditions.

  3. A novel solution concept for bilevel optimal control problems.

 Nathalie T. Khalil, Ph.D. in Mathematics

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