Preprints

• The shooting algorithm for partially control-affine problems with application to an SIRS epidemiological model, 2021. Joint work with J.M. Machado. [arXiv]

• Singular solutions in optimal control: second order conditions and a shooting algorithm, 2013. [arXiv]

Articles and Peer-reviewed Conference Proceedings

• Optimal vaccination strategies on networks and in metropolitan areas, Preprint, 2024. Joint work with L. Moschen. [Research Gate]

• Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint, Computational and Applied Mathematics, 2023. Joint work with J.F. Bonnans and B.S. Goh. [arXiv][link] 

• Modeling and control of malaria dynamics in fish farming regions, SIAM Journal on Applied Dynamical Systems 22 (3), 2023. Joint work with F.J.P. Antunes and C.T. Codeço. [arXiv][link]

• Estimate of the rate of unreported COVID-19 cases during the first outbreak in Rio de Janeiro, Infectious Disease Modelling 7(3), 2022. Joint work with R. Guglielmi and L. Moschen. [MedRXiv] [Link]

• First and Second Order Optimality Conditions for the Control of Fokker-Planck Equations, ESAIM Control, Optimisation and Calculus of Variations, 27(15), 2021. Joint work with F. Tröltzsch. [arXiv] [Link]

• A model for COVID-19 with isolation, quarantine and testing as control measures, Epidemics, 34, 2021. Joint work with R. Guglielmi and L. Moschen. [Research Gate] [Link]

• State constrained control-affine parabolic problems II: Second order sufficient optimality conditions, SIAM Journal on Control and Optimization, 59(2), 1628–1655, 2021. Joint work with F. Bonnans and A. Kröner. [arXiv] [Link] 

• State-constrained control-affine parabolic problems I: first and second order necessary optimality conditions, Set-Valued and Variational Analysis, 29(2), 383-408, 2021. Joint work with F. Bonnans and A. Kröner. [arXiv] [Link] 

• On nonlinear pest/vector control via the Sterile Insect Technique: impact of residual fertility, Bulletin of Mathematical Biology, 82:110, 2020. Joint work with Y. Dumont. [arXiv] [Link]

• A higher-order Maximum Principle for impulsive optimal control problems, SIAM Journal on Control and Optimization, 58(2) 814-844,  2020. Joint work with M. Motta and F. Rampazzo. [arXiv] [Link]

• Necessary conditions involving Lie brackets for impulsive optimal control problems, Proceedings of the 58th IEEE Conference on Decision and Control, 2019. Joint work with M. Motta and F. Rampazzo. [arXiv] [Link]

• Optimal control of PDEs in a complex space setting; application to the Schrödinger equation, SIAM Journal on Control and Optimization, 57(2), 1390–1412, 2019. Joint work with F. Bonnans and A. Kröner. [arXiv] [Link]

• Internal observer for uncertain time-varying SIR-SI model of vector-borne disease, In Proceedings of the European Control Conference (ECC), 2018. Joint work with P.-A. Bliman. [arXiv] [Link]

• Ensuring successful introduction of Wolbachia in natural populations of Aedes aegypti by means of feedback control, Journal of Mathematical Biology, 76(5):1269-1300, 2018. Joint work with P.-A. Bliman, F.C. Coelho, and M.A. da Silva. [arXiv] [Link]

• Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations, Mathematical Programming, 168(1-2):717-757, 2018. Joint work with F. Bonnans and A. Kröner. [arXiv] [Link]

• Second order necessary and sufficient optimality conditions for singular solutions of partially-affine control problems, Discrete and Continuous Dynamical Systems Series S, 11(6):1179-1199, 2018. [arXiv] [Link]

• Optimal control of bilinear systems in a complex space setting , Proceedings of the 20th IFAC World Congress, 2017. Joint work with F. Bonnans and A. Kröner. [Link]

• Second order analysis of control-affine problems with scalar state constraint, Mathematical Programming, 160(1):115-147, 2016. Joint work with J.F. Bonnans and B.-S. Goh. [arXiv] [Link]

• A note on systems with ordinary and impulsive controls, IMA Journal on Mathematical Control and Information, 33(2):147-162, 2016. Joint work with F. Rampazzo. [Link] [arXiv]

• Global stabilizing feedback law for a problem of biological control of mosquito-borne diseases, Proceedings of the 54th IEEE Conference on Decision and Control, pp. 3206-3211, 2015. Joint work with P.-A. Bliman, F. C. Coelho, and M. A. da Silva. [Link] [Preprint]

• L1 limit solutions for control systems, Journal of Differential Equations, 258(3): 954-979, 2015. Joint work with F. Rampazzo. [Link]

• Infimum gaps for limit solutions, Set-Valued and Variational Analysis, 23: 3-22, 2015. Joint work with M. Motta and F. Rampazzo. [Article]

• On optimal control problems with impulsive commutative dynamics, In Proceedings of the 52nd IEEE Conference on Decision and Control, pp. 1822-1827, 2013. Joint work with F. Rampazzo. [Link] [arXiv]

• A shooting algorithm for optimal control problems with singular arcs, Journal of Optimization Theory and Applications, 158(2):419-459, 2013. Joint work with J.F. Bonnans and P. Martinon. [Article] [errata]

• Convergence of the shooting algorithm for singular optimal control problems, In Proceedings of the European Control Conference (ECC), pp. 215-220, 2013. [Link] [arXiv]

• Quadratic order conditions for bang-singular extremals, Numerical Algebra, Control and Optimization, AIMS Journal, special issue dedicated to Professor Helmut Maurer on the occasion of his 65th birthday, 2(3):511-546, 2012. Joint work with J.F. Bonnans, A.V. Dmitruk and P.A. Lotito. [Article]

Extended abstracts

• On the shooting algorithm for partially-affine optimal control problems with control constraints, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics (extended abstract), 2019. Joint work with J.M. Machado. [Link]

• Influência do comportamento humano na transmissão da malária: modelagem e análise, Proceeding Series of the Brazilian Society of Computational and Applied Mathematics (extended abstract), 2018. Joint work with F. Antunes and C. Codeço. [Link]

Books, book chapters, others...

• AS BOOK EDITOR: Optimal Control: Novel Directions and Applications, Lectures Notes in Mathematics Series, 2017, editors: D. Tonon, M.S. Aronna and D. Kalise. [Link]

• BOOK CHAPTER: Optimality conditions (in Pontryagin form), in Optimal Control: Novel Directions and Applications, Lectures Notes in Mathematics Series, 2017, authors: M.S. Aronna, D. Tonon, A. Boccia, C.M. Campos, M. Mazzola, L.V. Nguyen, M. Palladino, T. Scarinci, F. Silva.

Ph.D. Thesis

 Second order analysis of optimal control problems with singular arcs. Optimality conditions and shooting algorithm. December 2011, at CMAP, Ecole Polytechnique, France. Advisor: J.F. Bonnans. Co-advisor: P.A. Lotito. [Link]