Search Results - "calculus of variations"

Existence for calculus of variations and optimal control problems on time scales by Zhan, Zaidong, Wei, Wei, Li, Yinfei, Xu, Honglei

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A collocation method based on the bernoulli operational matrix for solving nonlinear BVPs which arise from the problems in calculus of variation by Tohidi, Emran, Kilicman, Adem

“…A new collocation method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations, which are the necessary conditions of the extremums of problems in calculus of variation. …”
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Solving variational problems by homotopy–perturbation method by Abdulaziz, O., Hashim, Ishak, Chowdhury, Md. Sazzad Hossien

“…In this paper, we consider some problems in calculus of variations. Homotopy–perturbation method (HPM) is adopted to obtain approximate analytical solutions to variational problems. …”
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A systematic review on the advancement in the study of fuzzy variational problems by Verma, Mansi, Chuei, Yee Chen, Kılıçman, Adem, Mat Hasim, Risman

“…In this paper, we provide a systematic review to recap the history of variational principle in the calculus of variations and compare it with the existing techniques in the fuzzy setting. …”
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Bezier curves method for fourth-order integrodifferential equations by Ghomanjani, Fateme, Kamyad, Ali Vahidian, Kilicman, Adem

“…Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. …”
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Inverse optimal filtering of linear distributed parameter systems by Do, Khac Duc

“…A constructive method is developed to design inverse optimal filters to estimate the states of a class of linear distributed parameter systems (DPSs) based on the calculus of variation approach. Inverse optimality guarantees that the cost functional to be minimized is meaningful in the sense that the symmetric and positive definite weighting kernel matrix on the states is chosen after the filter design instead of being specified at the start of the filter design. …”
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A gradient algorithm for optimal control problems with model-reality differences by Kek, S.L., Aziz, M.I.A., Teo, Kok Lay

“…By applying the calculus of variation, a set of the necessary optimality conditions, which denes modied model-based optimal control problem, parameter estimation problem and computation of modiers, is then derived. …”
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