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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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Mathematical models and lymphatic filariasis control: endpoints and optimal interventions
Trends in Parasitology, 2006The current global initiative to eliminate lymphatic filariasis is a major renewed commitment to reduce or eliminate the burden of one of the major helminth infections from resource-poor communities of the world. Mathematical models of filariasis transmission can serve as an effective tool for guiding the scientific development and management of ...
Edwin, Michael +4 more
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Mathematical modelling and optimal control of solar dryers
Mathematical Modelling of Systems, 1997A mathematical model of the solar dryers designed and used in Cuba is presented and discussed. The model consists of a set of ordinary nonlinear differential equations which describe the behaviour of the main parts of the dryer. Using the model, an optimal control problem is formulated and solutions within the class of piecewise constant controls are ...
Gallestey, E., Paice, A. D. B.
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Mathematical modeling and control optimization for energy internet
2017 IEEE Conference on Energy Internet and Energy System Integration (EI2), 2017With the development of Energy Internet in recent years, the rapid promotion of new energy emerging facilities highlights the trend of the future energy interconnection. Under the system architecture, renewable energy and grid, energy storage, energy deployment and transportation problems require a flexible grid scheduling strategy to deal with complex
Yulin Qian +3 more
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Mathematical modeling and optimal control of corruption dynamics
Asian-European Journal of Mathematics, 2018The problem of corruption is of serious concern in all the nations, more so in the developing countries. This paper presents the formulation of a corruption control model and its analysis using the theory of differential equations. We found the equilibria of the model and stability of these equilibria are discussed in detail.
Athithan, S., Ghosh, Mini, Li, Xue-Zhi
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Mathematical Modeling and Optimal Control for Two Biological Systems
2023Global development post industrialization has accelerated industrial production, improved the economy, ushered in technological innovation, and improved the quality of life for many. Conversely, it has caused rising emissions, loss of biodiversity, increasing infertility, and an overall unsustainable world.
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Mathematical approaches to controlling COVID-19: optimal control and financial benefits
Mathematical Modelling and Numerical Simulation with ApplicationsThe global population has suffered extensively as an effect of the coronavirus infection, with the loss of many lives, adverse financial consequences, and increased impoverishment. In this paper, we propose an example of the non-linear mathematical modeling of the COVID-19 phenomenon.
Saida Id Ouaziz, Mohammed El Khomssi
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Nonlinear Problems in Mathematical Programming and Optimal Control
2009Necessary conditions of optimality are obtained for general mathematical programming problems on a product space. The cost functional is locally Lipschitz and the constraints are expressed as inclusion relations with unbounded linear operators and multivalued term.
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Optimal control and mathematical models in epidemiology
2020In this PhD thesis, we prove sufficient optimality conditions for delayed optimal control problems, by transforming them into equivalent non-delayed problems. Such transformation is done by considering a technique proposed by Guinn in 1976 and later promoted by Maurer and his collaborators.
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Discrete Optimal Control, Mathematical Programming and Variational Inequality Problems
1994In this chapter, we present more mathematical background which is necessary for modeling and solution of dynamic transportation network problems. This chapter will cover discrete optimal control, mathematical programming and variational inequality problems. First, we introduce the discrete optimal control problem (OCP). To simplify our presentation, we
Bin Ran, David E. Boyce
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