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BVPs Codes for Solving Optimal Control Problems
Mathematics, 2021 Optimal control problems arise in many applications and need suitable numerical methods to obtain a solution. The indirect methods are an interesting class of methods based on the Pontryagin’s minimum principle that generates Hamiltonian Boundary Value ...
Francesca Mazzia, Giuseppina Settanni
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Existence of optimal control for multi-order fractional optimal control problems [PDF]
Archives of Control Sciences, 2022 In this article we focus on optimal control problems involving a nonlinear fractional control system of different orders with Caputo derivatives, associated to a Lagrange cost functional. Based on a lower closure theorem for orientor fields combined with
Rafał Kamocki
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Relaxation methods for optimal control problems [PDF]
Bulletin of Mathematical Sciences, 2020 We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map A : ℝN → 2ℝN. We do not assume that D(A) = ℝN, incorporating in this way systems with unilateral constraints in our ...
Nikolaos S. Papageorgiou +2 more
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Solving quantum optimal control problems by wavelets method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 We present the quantum equation and synthesize an optimal control proce dure for this equation. We develop a theoretical method for the analysis of quantum optimal control system given by the time depending Schrödinger equation.
M. Rahimi +2 more
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An Operational Matrix Method Based on the Gegenbauer Polynomials for Solving a Class of Fractional Optimal Control Problems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2021 One of the most important classes of fractional calculus is the fractional optimal control problem (FOCP), which arises in engineering. This study presents a direct and efficient numerical method for solving a class of (FOCPs) in which the fractional ...
Farzaneh Soufivand +2 more
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ON OPTIMALITY OF SINGULAR CONTROLS IN AN OPTIMAL CONTROL PROBLEM [PDF]
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2016 Summary: In this paper, a Moskalenko type optimal control problem is considered. We consider the optimal control problem of minimizing the terminal type functional \[\text{S(u,v)}=\varphi(y(x_1))+\int_{x_0}^{x_1}G(x,z(t_1,x))\,dx,\] under constraints \[ u(t,x)\in U\subset R^r, \quad (t,x)\in D=[t_0,t_1]\times[x_0,x_1], \] \[ v(x)\in V\subset R^q,\quad ...
Mansimov, K. B., Rasulova, Sh. M.
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Optimal Control for the Thermistor Problem [PDF]
SIAM Journal on Control and Optimization, 2010 This paper is concerned with the state-constrained optimal control of the two-dimensional thermistor problem, a quasi-linear coupled system of a parabolic and elliptic PDE with mixed boundary conditions. This system models the heating of a conducting material by means of direct current.
Hömberg, Dietmar +3 more
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L2 Norm-Based Control Regularization for Solving Optimal Control Problems
IEEE Access, 2023 Solutions to practical optimal control problems (OCPs) may consist of control profiles that switch between control limits or assume values interior to their admissible set, either due to activation of inequality state path constraints or existence of ...
Ehsan Taheri, Nan Li
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Transformations of Optimal Control Problems
Моделирование и анализ информационных систем, 2013 The paper considers such transformations of variational and optimal control problems (by a change of phase variables) that help to get the solution.
A. Tsirlin
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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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