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International Journal of Computer Mathematics Volume 97, 2020 - Issue 7
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Original Articles

A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method

K. MamehrashiDepartment of Mathematics, Payame Noor University, Tehran, Iran;Mathematics Unit, School of Science and Engineering, University of Kurdistan Hewler (UKH), Erbil, Kurdistan Region, IraqORCID Iconhttps://orcid.org/0000-0003-3663-2424
ORCID Icon &
A. NematiYoung Researchers and Elite Club, Ardabil Branch, Islamic Azad University, Ardabil, IranCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-1263-345X
ORCID Icon
Pages 1529-1544 | Received 08 Nov 2018, Accepted 29 May 2019, Published online: 18 Jun 2019

Citations (8)

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Z. Nikooeinejad, M. Heydari & G. B. Loghmani. (2021) Numerical solution of two-point BVPs in infinite-horizon optimal control theory: a combined quasilinearization method with exponential Bernstein functions. International Journal of Computer Mathematics 98:11, pages 2156-2174.
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Articles from other publishers (7)

Kareem T. Elgindy & Hareth M. Refat. (2023) A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps. AIMS Mathematics 8:2, pages 3561-3605.
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Redemtus Heru Tjahjana. Infinite horizon time optimal control approach for a coupled Dubin model. Infinite horizon time optimal control approach for a coupled Dubin model.
Kamal Mamehrashi. (2023) Ritz approximate method for solving delay fractional optimal control problems. Journal of Computational and Applied Mathematics 417, pages 114606.
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Kamal Rashedi. (2021) A numerical solution of an inverse diffusion problem based on operational matrices of orthonormal polynomials. Mathematical Methods in the Applied Sciences 44:17, pages 12980-12997.
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Jiangbo Zhao, Shuo Qin, Junzheng Wang & Shumao Liu. (2020) Variational problem containing psi‐RL complex‐order fractional derivatives. Asian Journal of Control 23:4, pages 1792-1802.
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Mohammadreza Radmanesh, Alireza Nemati, Manish Kumar & Donald French. (2020) Numerical Solver for LQR Problems for Large-Scale Inter-Connected Systems Using Ritz Method and Laguerre Functions. Numerical Solver for LQR Problems for Large-Scale Inter-Connected Systems Using Ritz Method and Laguerre Functions.
Jun Huang, Zhigui Liu, Zhiqin Liu, Qingfeng Wang & Jie Fu. (2019) A pk-Adaptive Mesh Refinement for Pseudospectral Method to Solve Optimal Control Problem. IEEE Access 7, pages 161666-161679.
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