Results 21 to 30 of about 15,804,550 (305)
A method for optimal control problems [PDF]
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, 2006 We deal with a numerical method for HJB equations coming from optimal control problems with state constraints. More precisely, we present here an antidissipative scheme applied on an adaptative grid. The adaptative grid is generated using linear quadtree structure.
Bokanowski, Olivier +2 more
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Disease control as an optimization problem [PDF]
PLOS ONE, 2020 Traditionally, expert epidemiologists devise policies for disease control through a mixture of intuition and brute force. Namely, they use their know-how to narrow down the set of logically conceivable policies to a small family described by a few parameters, following which they conduct a grid search to identify the optimal policy ...
Navascués, Miguel +2 more
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Deterministic and Stochastic Optimal Control and Inverse Problems
, 2021 Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications. A related problem of paramount
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A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems
International Journal of Differential Equations, 2021 Solving fractional optimal control problems (FOCPs) with an approximate analytical method has been widely studied by many authors, but to guarantee the convergence of the series solution has been a challenge.
Oluwaseun Olumide Okundalaye +1 more
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Stability Analysis of Optimal Trajectory for Nonlinear Optimal Control Problems
Journal of Mathematics, 2020 Due to the need for numerical calculation and mathematical modelling, this paper focuses on the stability of optimal trajectories for optimal control problems.
Hongyong Deng, Wei Zhang, Changchun Shen
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Constrained optimization problems governed by PDE models of grain boundary motions
Advances in Nonlinear Analysis, 2022 In this article, we consider a class of optimal control problems governed by state equations of Kobayashi-Warren-Carter-type. The control is given by physical temperature. The focus is on problems in dimensions less than or equal to 4.
Antil Harbir +3 more
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A numerical scheme for constrained optimal control problems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2019 In this paper, a numerical technique is proposed to solve optimal control problems (OPCs) of Volterra integral equations (VIEs). We apply the linear B-spline polynomials to solve OPCs by VIEs. The B-spline function divides the interval into sub-intervals
Zahra Shabani, Haleh Tajadodi
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On Signomial Constrained Optimal Control Problems
Communications in Advanced Mathematical Sciences, 2019 In this paper, using the notions of variational differential system, adjoint differential system and modified Legendrian duality, we formulate and prove necessary optimality conditions in signomial constrained optimal control problems.
Savin Treanta
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Duality on Geodesics of Cartan Distributions and Sub-Riemannian Pseudo-Product Structures
Demonstratio Mathematica, 2015 Given a five dimensional space endowed with a Cartan distribution, the abnormal geodesics form another five dimensional space with a cone structure. Then it is shown in (15), that, if the cone structure is regarded as a control system, then the space of ...
Ishikawa Goo +2 more
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A Multilevel Heterogeneous ADMM Algorithm for Elliptic Optimal Control Problems with L1-Control Cost
Mathematics, 2023 In this paper, elliptic optimal control problems with L1-control cost and box constraints on the control are considered. To numerically solve the optimal control problems, we use the First optimize, then discretize approach.
Xiaotong Chen +3 more
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