Publicações

MONTE, M. R. C., de OLIVEIRA, V. A.: On the continuous-time complementarity problem. Trends in Computational and Applied Mathematics, v. 25, article number e01768, 2024. 

MOREIRA, R.B., de OLIVEIRA, V.A.: An asymptotic weak maximum principle. SIAM Journal of Control and Optimization, v. 62, p. 2807-2833, 2024. Click here to read the paper.

ANDREANI, R., ASCONA, J.F.M., de OLIVEIRA, V. A.: A weak maximum principle for discrete optimal control problems with mixed constraints. Journal of Optimization Theory and Applications, v. 203, p. 562-599, 2024. Click here to read the paper.

de OLIVEIRA, V. A.: Optimality conditions and duality for a class of continuous-time linear optimization problems. Computational and Applied Mathematics, v. 43, article number 278, 2024. Click here to read the paper.

VILLANUEVA, F. R., de OLIVEIRA, V. A.: Condiciones suficientes para problemas de control óptimo con tiempos finales libres. Revista Boliviana de Matemática, v. 2, p. 117– 146, 2023.

VILLANUEVA, F. R., de OLIVEIRA, V. A., COSTA, T. M.: Optimality conditions for interval valued optimization problems. Fuzzy Sets and Systems, v. 454, p. 38-55, 2023. 

VILLANUEVA, F. R., de OLIVEIRA, V. A.: Necessary optimality conditions for interval optimization problems with functional and abstract constraints. Journal of Optimization Theory and Applications, v. 194, p. 896-923, 2022. Click here to read the article.

MONTE, M. R. C., de OLIVEIRA, V. A.: A Constant Rank Constraint Qualification in Continuous-Time Nonlinear Programming. Set-Valued and Variational Analysis, v. 29, p. 61-81, 2021. 

ANDREANI, R., de OLIVEIRA, V. A., PEREIRA, J. T., SILVA, G. N.: A Weak Maximum Principle for Optimal Control Problems with Mixed Constraints under a Constant Rank Condition. IMA Journal of Mathematical Control and Information, v. 37, p. 1021–1047, 2020.

 MONTE, M. R. C., de OLIVEIRA, V. A.: Necessary Conditions for Continuous-time Optimization under the Mangasarian-Fromovitz Constraint Qualification. Optimization, v. 69, p. 777-798, 2020.

MONTE, M. R. C., de OLIVEIRA, V. A.: A Full Rank Condition for Continuous-Time Optimization Problems with Equality and Inequality Constraints. TEMA. Tendências em Matemática Aplicada e Computacional, v. 20, p. 15-35, 2019.

KARAMZIN, D. Y., de OLIVEIRA, V. A., PEREIRA, F. L., SILVA, G. N.: A Generalized Filippov-like Existence Theorem for Optimal Control Problems with Constraints. Procedia Computer Science, v. 150, p. 478-487, 2019. 

de OLIVEIRA, V. A., SILVA, G. N.: Sufficient Optimality Conditions for Optimal Control Problems with State Constraints. Numerical Functional Analysis and Optimization, v. 40, p. 867-887, 2019.

de OLIVEIRA, V. A., SILVA, G. N.: A Note on the Sufficiency of the Maximum Principle for Infinite Horizon Optimal Control Problems. Optimal Control Applications & Methods, v. 39, p. 1573-1580, 2018.

de OLIVEIRA, V. A., SILVA, G. N.: On Sufficient Optimality Conditions for Multiobjective Control Problems. Journal of Global Optimization, v. 64, p. 721-744, 2016.

KARAMZIN, D. Y., de OLIVEIRA, V. A., SILVA, G. N., PEREIRA, F. L.: Minimax Optimal Control Problem with State Constraints. European Journal of Control, p. 24-31, 2016.

CHALCO-CANO, Y., de OLIVEIRA, V. A., SILVA, G. N.: Description of the Attainable Sets of One-Dimensional Differential Inclusions. Journal of Optimization Theory and Applications, v. 164, p. 138-153, 2015.

KARAMZIN, D. Y., de OLIVEIRA, V. A., PEREIRA, F. L., SILVA, G. N.:  On the Properness of the Extension of Dynamic Optimization Problems to Allow Impulsive Controls. ESAIM. Contrôle, Optimisation et Calcul des Variations, v. 21, p. 857-875, 2015.

de OLIVEIRA, V. A., SANTOS, L. B., OSUNA-GÓMEZ, R., ROJAS-MEDAR, M. A.: Optimality Conditions for Nonlinear Infinite Programming Problems. Optimization Letters, v. 9, p. 1131-1147, 2015.

KARAMZIN, D. Y., de OLIVEIRA, V. A., PEREIRA, F. L., SILVA, G. N.: On Some Extension of Optimal Control Theory. European Journal of Control, v. 20, p. 284-291, 2014.

ARUTYUNOV, A., de OLIVEIRA, V. A., PEREIRA, F. L., ZHUKOVSKIY, E., ZHUKOVSKIY, S.: On the Solvability of Implicit Differential Inclusions. Applicable Analysis, v. 94, p. 129-143, 2014.

de OLIVEIRA, V. A., Silva, G. N.: New Optimality Conditions for Nonsmooth Control Problems. Journal of Global Optimization, v. 57, p. 1465-1484, 2013.

SANTOS, L. B., ROJAS-MEDAR, M. A., de OLIVEIRA, V. A.: Saddle Point and Second Order Optimality in Nondifferentiable Nonlinear Abstract Multiobjective Optimization. TEMA. Tendências em Matemática Aplicada e Computacional, v. 13, p. 179-191, 2012.

de OLIVEIRA, V. A.: Vector Continuous-time Programming without Differentiability. Journal of Computational and Applied Mathematics, p. 924-933, 2010.

de OLIVEIRA, V. A., SILVA, G. N., ROJAS-MEDAR, M. A.: A Class of Multiobjective Control Problems. Optimal Control Applications & Methods, v. 30, p. 77-86, 2009.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A.: Proper Efficiency in Vector Infinite Programming Problems. Optimization Letters (Print), v. 3, p. 319-328, 2009.

de OLIVEIRA, V. A., SILVA, G. N., ROJAS-MEDAR, M. A.: KT-Invexity in Optimal Control Problems. Nonlinear Analysis, v. 71, p. 4790-4797, 2009.

de OLIVEIRA, V. A., SILVA, G. N.: Optimality Conditions for Infinite Horizon Control Problems with State Constraints. Nonlinear Analysis, v. 71, p. e1788-e1795, 2009.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A.: Multi-objetive Infinite Programming. Computers & Mathematics with Applications, v. 55, p. 1907-1922, 2008.

PEREIRA, F. L., SILVA, G. N., de OLIVEIRA, V. A.: Invariance for Impulsive Control Systems. Automation and Remote Control, v. 69, p. 788-800, 2008.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A.: Continuous-time Optimization Problems Involving Invex Functions. Journal of Mathematical Analysis and Applications, v. 327, p. 1320-1334, 2007.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A.: Continuous-time Multiobjective Optimization Problems via Invexity. Abstract and Applied Analysis, v. 2007, p. ID 61296-11 pages, 2007.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A., BRANDÃO, A. J. V.: A Note on KKT-invexity in Nonsmooth Continuous-time Optimization. Proyecciones, v. 26, p. 269-279, 2007. 

VILLANUEVA, F. R., de OLIVEIRA, V. A. An Approach for Solving Interval Optimization Problems. In: G. A. Barreto; R. Coelho. (Org.). Communications in Computer and Information Science. 37ed. Springer International Publishing, 2018, v. 831, p. 500-507.

KARAMZIN, D. Y., de OLIVEIRA, V. A., SILVA, G. N., PEREIRA, F. L. On the Study of Complex Impulsive Systems. In: A. P. Moreira et al.. (Org.). Lecture Notes in Electrical Engineering. Springer, 2014, v. 321, p. 39-48.

BRANDÃO, A. J. V. , de OLIVEIRA, V. A., ROJAS-MEDAR, M. A., SANTOS, L. B. Necessary and Sufficient Optimality Conditions for Continuous-time Multiobjective Optimization Problems. In: M. Arana-Jiménez; G. Ruiz-Garzón; A. Rufián-Lizana. (Org.). Optimality Conditions in Vector Optimization. Bentham Science Publishers Ldt., 2010, v. 01, p. 143-163.

de OLIVEIRA, V. A., SILVA, G. N. Introdução ao Controle Ótimo. In: J. M. Balthazar; V. A. Oliveira; G. N. Silva; J. M. Rosário. (Org.). Aplicações em Dinâmica e Controle,  2001,  p. 291-325.

VILLANUEVA, F. R., de OLIVEIRA, V. A. Um Princípio do Máximo Fraco para Problemas de Controle Ótimo com Custo Intervalar. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLIII CNMAC, Porto de Galinhas, v. 11, n. 1, 2024.

MOREIRA, R. B., de OLIVEIRA, V. A.  Uma Nova Condição de Qualificação para Controle Ótimo. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLIII CNMAC, Porto de Galinhas, v. 11, n. 1, 2024.

de OLIVEIRA, V. A. Second-Order Geometric Characterization of Optimal Solutions in Continuous-Time Programming. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLII CNMAC, Bonito, v. 10, n. 1, 2023.

MONTE, M. R. C., de OLIVEIRA, V. A. A Constant Rank-type Constraint Qualification for Multi-Objective Continuous-Time Nonlinear Programming. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLII CNMAC, Bonito, v. 10, n. 1, 2023.

MOREIRA, R. B., de OLIVEIRA, V. A. Um Método do Tipo Lagrangiano Aumentado para Problemas de Controle Ótimo com Restrições Mistas e Função de Custo Não Suave. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLII CNMAC, Bonito, v. 10, n. 1, 2023.

MONTE, M. R. C., de OLIVEIRA, V. A. On the Continuous-Time Complementarity Problem. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLI CNMAC, Campinas, v. 9, n. 1, 2022.

de OLIVEIRA, V. A. Second-Order KKT-Invexity in Continuous-Time Optimization. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XLI CNMAC, Campinas, v. 9, n. 1, 2022.

ASCONA, J. F. M., ANDREANI, R., de OLIVEIRA, V. A. Condições Necessárias para Problemas de Controle Ótimo Discreto com Restrições Mistas via Formalismo de Dubovitskii-Milyutin. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XL CNMAC, Campo Grande, v. 8, n. 1, 2021.

de OLIVEIRA, V. A., VILLANUEVA, F. R., COSTA, T. M. Necessary Optimality Conditions of KKT type for Interval Programming Problems. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XL CNMAC, Campo Grande, v. 8, n. 1, 2021.

MONTE, M. R. C., de OLIVEIRA, V. A. Second Order Sufficient Optimality Conditions for Continuous-Time Programming Problems with Equality Constraints. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XXXIX CNMAC, Uberlândia, v. 7, n. 1, 2020.

de OLIVEIRA, V. A. Duality Theory in Continuous-Time Linear Optimization. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XXXIX CNMAC, Uberlândia, v. 7, n. 1, 2020.

VILLANUEVA, F. R., de OLIVEIRA, V. A. An Approach for Solving Interval Optimal Control Problems. In: Proceeding Series of the Brazilian Society of Computational and Applied Mathematics, XXXIX CNMAC, Uberlândia, v. 7, n. 1, 2020.

MONTE, M. R. C., de OLIVEIRA, V. A. Condições Necessárias para Problemas de Otimização com Tempo Contínuo sob Regularidade Tipo Independência Linear. In: Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, XXXVII CNMAC, S.J. dos Campos, v. 6, n. 1, 2018.

SIGNORINI, C. A., de OLIVEIRA, V. A. Condições Suficientes de Otimalidade em Cálculo das Variações no Contexto Não-Suave. In: Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, XXXVII CNMAC, S.J. dos Campos, XXXVI CNMAC, Gramado, v. 6, n. 1, 2018.

de OLIVEIRA, V. A. On the Sufficiency of the Maximum Principle for Infinite Horizon Optimal Control Problems. In: Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, XXXVI CNMAC, Gramado, v. 5, n. 1, 2017.

MONTE, M. R. C., de OLIVEIRA, V. A. Condições Necessárias para Problemas de Otimização com Tempo Contínuo sob Regularidade tipo Mangasarian-Fromovitz. In: In: Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, XXXVI CNMAC, Gramado, v. 5, n. 1, 2017.

ASCONA, J. F. M., CALDERÓN, L. S. C., de OLIVEIRA, V. A. MP-Pseudo-Invexidade em Problemas de Controle Ótimo com Condições de Contorno Funcionais. In: Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, III CMAC-SE, Vitória, v. 3, n. 2, 2015.

KARAMZIN, D. Y., de OLIVEIRA, V. A., PEREIRA, F. L., SILVA, G. N. On Properness of Impulsive Extension. In: Annals of the European Control Conference,  Strasbourg, France, p. 1588-1593, 2014. 

KARAMZIN, D. Y., de OLIVEIRA, V. A., PEREIRA, F. L., SILVA, G. N. A Generalized Existence Theorem in Impulsive Control Problems. In: Annals of the 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, The Netherlands, p. 689-693, 2014. 

KARAMZIN, D. Y., de OLIVEIRA, V. A., PEREIRA, F. L., SILVA, G. N. On the Extensions of Optimal Control Theory. In: Proceeding Series of the Brazilian Society of Applied and Computational Mathematics, DINCON 2013, Fortaleza, v. 1, n. 1, 2013.

de OLIVEIRA, V. A., SILVA, G. N., PEREIRA, F. L. A New Sufficient Condition for Optimal Impulsive Control Problems. In: Annals of the IEEE Conference on Decision and Control, Maui, Hawaii, EUA, p. 6418-6423, 2012.

de OLIVEIRA, V. A., SILVA, G. N. MP-pseudoinvex Nonsmooth Optimal Control Problems. In: Proceedings of the 9th Brazilian Conference on Dynamics Control and their Applications, DINCON 2010, Serra Negra, p. 79-82, 2010.

de OLIVEIRA, V. A., SILVA, G. N., ROJAS-MEDAR, M. A. Uma Classe de Problemas de Controle Ótimo com Múltiplos Objetivos. In: Anais do Encontro Regional de Matemática Aplicada e Computacional, Uberlândia, p. 1-6, 2008.

MORETTI, A. C., de OLIVEIRA, V. A., ROJAS-MEDAR, M. A. Uma Introdução à Programação Matemática. In: Atas VI Simposio Norotiental de Matemáticas, Bucaramanga, Colómbia, p. 1 - 60, 2007.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A. KT-invexidade em Controle Ótimo. In: Anais do XXX Congresso Nacional de Matemática Aplicada e Computacional, Florianópolis, p. 1- 6, 2007.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A. Eficiência própria em problemas vetoriais de programação infinita. In: Anais do 64º Seminário Brasileiro de Análise, São Paulo, p. 1 - 12, 2006.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A. Invexidade e o Teorema de Kuhn-Tucker no Contexto de Tempo Contínuo. In: Anais do 61º Seminário Brasileiro de Análise, São João del Rei, p. 155-162, 2005.

de OLIVEIRA, V. A., ROJAS-MEDAR, M. A., BRANDÃO, A. J. V. Problemas de Otimização com Tempo Contínuo Não-Suaves via Invexidade. In: Anais do 62º Seminário Brasileiro de Análise, Rio de Janeiro, p.1 - 8, 2005.

de OLIVEIRA, V. A., SILVA, G. N., PEREIRA, F. L. Invariance for Impulsive Control Systems. In: Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, Hawaii, USA, p. 5174-5179,  2003.