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Delta-Nabla Optimal Control Problems [PDF]
Journal of Vibration and Control, 2010 We present a unified treatment to control problems on an arbitrary time scale by introducing the study of forward-backward optimal control problems. Necessary optimality conditions for delta-nabla isoperimetric problems are proved, and previous results ...
Agnieszka B Malinowska +7 more
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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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Optimal control problems with time inconsistency
Electronic Research Archive, 2023 In the present study, the necessary and sufficient conditions of equilibrium control for general optimal control problems with time inconsistency are established in sense of open-loop. As an application, the linear quadratic optimal control problems with
Wei Ji
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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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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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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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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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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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