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Advances in Mathematical Modeling, Optimization and Optimal Control
2016This book contains extended, in-depth presentations of the plenary talks from the 16th French-German-Polish Conference on Optimization, held in Krakow, Poland in 2013. Each chapter in this book exhibits a comprehensive look at new theoretical and/or application-oriented results in mathematical modeling, optimization, and optimal control.
Hiriart-Urruty, Jean-Baptiste +3 more
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Optimal control via mathematical programming
Journal of Guidance and Control, 1981Introduction O PTIMAL control problems with bounded controls reduce to two-point boundary-value problems which are difficult to handle by conventional methods of calculus of variations. Pontryagin's maximum principle and Bellman's dynamic programming are the other methods for solving such problems.
B. V. SHEELA, P. RAMAMOORTHY
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Mathematical Models and Optimal Control in Mosquito Transmitted Diseases
2023published
Ghaffari, Peyman +2 more
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Optimal Control Analysis of a Mathematical Model for Recurrent Malaria Dynamics
Operations Research Forum, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samson Olaniyi +2 more
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Mathematical analysis and optimal control applied to the treatment of leukemia
Journal of Applied Mathematics and Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shanta Khatun, Md. Haider Ali Biswas
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Application of a mathematical model for the control and optimization of a distillation plant
Automatica, 1972The principles of optimizing process control are elucidated by weighing the merits of hill-climbing, feedback, methods against model, feedforward, methods. It is shown that the advantages of the two methods can be employed at both the optimizing and the stabilizing control levels of a chemical plant.
G. Duyfjes, P.M.E.M. van der Grinten
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Mathematical analysis of an epidemic model with isolation and optimal controls
International Journal of Computer Mathematics, 2016In this article, we consider a susceptible–infectious–recovered SIR type epidemic model with some isolation to the susceptible, treatment for infectives, and vaccination to the newly recruited individuals. The basic reproduction number is obtained, and both the existence and stability of the disease-free and endemic equilibrium are discussed.
Soovoojeet Jana +2 more
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Duality theory in mathematical programming and optimal control
Kybernetika, 1984This paper ``deals with the duality theory of extremal problems. It is divided into three parts according to the nature of the original problem (convex, smooth nonconvex, nonsmooth locally Lipschitz problems). From various aspects of the duality theory preferably the possibility of replacing the original (primal) problem by another easier (dual ...
Jirí V. Outrata, Jirí Jarusek
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Optimal Control Problems for a Mathematical Model of the Treatment of Psoriasis
Computational Mathematics and Modeling, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigorenko, N. L. +3 more
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On optimal controls for a general mathematical model for chemotherapy of HIV
Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), 2002We describe a class of optimal control problems which arise as mathematical models for biological systems in the chemotherapy of diseases which have a strong cell proliferation aspect such as cancer or AIDS. Although individually these problems are very different in their specifics, yet due to. the underlying mechanisms of cell dynamics, they also have
Urszula Ledzewicz, Heinz Schättler
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