Optimal Control Theory (OCT)
Introduction to optimal control theory and its application to diabetes
... The Optimal Control theory is an extension of the Calculus of Variations as we will see later. This branch of mathematics is recent. In the beginning of the Cold War (19451991) the USA and the USSR ...
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Agency Relations in the Brain: Towards an Optimal Control Theory
... that control variables might be chosen, in conditions of optimality, in order to guarantee i (t) > 0; also, as long as ! i (0) is di¤erent from 0 or 1, ! i (t) will never fall in one of these two extreme ...
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Optimal Control of Shell Models of Turbulence
... of theory that spans a wide range of issues pertinent to address many practical challenges arising when solving real-life ...conventional optimal control theory went over the years through ...
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Distributed-order non-local optimal control
... Fractional optimal control theory deals with the optimization of a performance index functional, subject to a fractional control ...fractional optimal control is the Pontryagin ...
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Nonessential functionals in multiobjective optimal control problems
... Multiobjective optimal control attracts more and more attention and is a topic of extensive current research (see, ...of optimal control governed by ordinary differential dynamical ...of ...
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An applet for optimal control problems
... learning optimal control is a tough en- deavor. Optimal control theory is generally consid- ered an advanced ...on optimal con- trol assumes an advanced background not making it ...
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Optimal control and numerical software: an overview
... The generalization of the calculus of variations to optimal control theory was strongly motivated by military applications and has developed rapidly since 1950. The decisive breakthrough was achieved ...
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Optimal control of a delayed HIV model
... Optimal control is a branch of mathematics developed to find optimal ways to control a dynamic system [ 4 , 8 , 28 , 31 ...]. Optimal control theory has been applied with ...
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Necessary conditions for optimal control problems with state constraints: Theory and Applications
... constrained optimal control problems have been the focus of extensive research in the optimal control theory since the very beginning of the Pontryagin maximum princi- ple (PMP) in 1956 ...
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Sensitivity analysis of parametric elliptic optimal control
... in optimal control theory is the analysis of variations of the optimal solutions and of the value of the problem when we perturb the data, namely the governing equation and the cost ...
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Generalized splines in ℝn and optimal control
... Abstract. We give a new time-dependent definition of spline curves in R n , which extends a recent definition of vector-valued splines introduced by Rodrigues and Silva Leite for the time-independent case. Previous ...
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An epidemic model for cholera with optimal control treatment
... Between 2007 and 2011, several cholera outbreaks occurred, namely in Angola, Haiti and Zimbabwe [ 1 ]. In Haiti, the first cases of cholera happened in Artibonite Department on 14th October 2010. The disease propagated ...
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Multiobjective approach to optimal control for a dengue transmission model
... to control or eliminate Aedes aegypti mosquitoes due to their resiliency, fast adaptation to changes in the environment and their ability to rapidly bounce back to initial numbers after disturbances resulting from ...
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Symbolic computation of variational symmetries in optimal control
... Although knowing that the complexity of the method is intimately related with the values n and m, that are fixed with a given optimal control problem, we get, even so, a quite satisfactory answer to the ...
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The quality control theory of aging
... QC theory challenges this paradigm by proposing that aging is a series of genetic system pathways that interact to promote dysfunctional cellular activity associated with increasing ...QC theory challenges ...
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Optimal quantum control applied to quantum dots
... quantum control paradigm (TBQCP) [ 126 ...the optimal AC electric elds that implement the required quantum gates, we apply the TBQCP ...determine optimal electric pulses that perform the quantum ...
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Optimal control problems with nonregular mixed constraints
... de Pinho, M.d.R. and A. Ilchmann (2002). Weak maximum principle for optimal control prob- lems with mixed constraints. Nonlinear Anal- ysis, Theory and Applications 48, 1179–1196. de Pinho, M.d.R., ...
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Optimal oil production network control using Modelica
... The separator outlet pressure is defined as a controlled variable and it is as- sumed that a lower-level control loop controls the outlet gas valve to keep the pressure in the determined reference. This regulation ...
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Optimal Control Applied to an Irrigation Planning Problem
... We propose a mathematical model to study the water usage for the irrigation of a given farmland to guarantee that the field crop is kept in a good state of preservation. This problem is formulated as an optimal ...
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Necessary Conditions for Constrained Nonsmooth Fractional Optimal Control Problems
... Necessary Conditions for Constrained Nonsmooth Fractional Optimal Control Problems.. Hegagi Mohamed Ali Ahmed.[r] ...
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