Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method
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Yu-Ming Chu | Raúl Alcaraz | José Francisco Gómez-Aguilar | Hadi Jahanshahi | Stelios Bekiros | Shu-Bo Chen | Samaneh Soradi-Zeid | J. F. Gómez‐Aguilar | R. Alcaraz | Y. Chu | S. Bekiros | H. Jahanshahi | Shu-Bo Chen | Samaneh Soradi‐Zeid
[1] Amin Jajarmi,et al. An Efficient Finite Difference Method for The Time‐Delay Optimal Control Problems With Time‐Varying Delay , 2017 .
[2] Yadollah Ordokhani,et al. Optimal Control of Delay Systems by Using a Hybrid Functions Approximation , 2012, J. Optim. Theory Appl..
[3] Yadollah Ordokhani,et al. An efficient approximate method for solving delay fractional optimal control problems , 2016, Nonlinear Dynamics.
[4] Alireza Nazemi,et al. Müntz-Legendre spectral collocation method for solving delay fractional optimal control problems , 2019, J. Comput. Appl. Math..
[5] Mortaza Gachpazan,et al. Optimal control of time-varying linear delay systems based on the Bezier curves , 2014 .
[6] Xiaohong Joe Zhou,et al. Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation. , 2008, Journal of magnetic resonance.
[7] F. Khellat,et al. Optimal Control of Linear Time-Delayed Systems by Linear Legendre Multiwavelets , 2009 .
[8] Carlo Cattani,et al. A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations , 2017, J. Comput. Appl. Math..
[9] Urmila M. Diwekar,et al. A fractional calculus approach to the dynamic optimization of biological reactive systems. Part II: Numerical solution of fractional optimal control problems , 2014 .
[10] Samaneh Soradi-Zeid,et al. Solving a class of fractional optimal control problems via a new efficient and accurate method , 2020 .
[11] Yadollah Ordokhani,et al. Numerical Studies for Fractional Pantograph Differential Equations Based on Piecewise Fractional-Order Taylor Function Approximations , 2018 .
[12] Tamer Inanc,et al. An RBF collocation method for solving optimal control problems , 2017, Robotics Auton. Syst..
[13] D. Baleanu,et al. A direct numerical solution of time-delay fractional optimal control problems by using Chelyshkov wavelets , 2018, Journal of Vibration and Control.
[14] YangQuan Chen,et al. A new collection of real world applications of fractional calculus in science and engineering , 2018, Commun. Nonlinear Sci. Numer. Simul..
[15] Samaneh Soradi-Zeid,et al. Efficient radial basis functions approaches for solving a class of fractional optimal control problems , 2019, Computational and Applied Mathematics.
[16] Y. H. Youssri,et al. Spectral Tau Algorithm for Certain Coupled System of Fractional Differential Equations via Generalized Fibonacci Polynomial Sequence , 2019 .
[17] Fakhrodin Mohammadi,et al. A Comparative Approach for Time‐Delay Fractional Optimal Control Problems: Discrete Versus Continuous Chebyshev Polynomials , 2018, Asian Journal of Control.
[18] Yadollah Ordokhani,et al. Fractional-order Lagrange polynomials: An application for solving delay fractional optimal control problems , 2019, Trans. Inst. Meas. Control.
[19] Xing Tao Wang,et al. Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials , 2007, Appl. Math. Comput..
[20] Mohsen Razzaghi,et al. Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials , 2004, J. Frankl. Inst..
[21] Azhar Ali Zafar,et al. A comparative study of the fractional oscillators , 2020 .
[22] D. Baleanu,et al. Suboptimal control of fractional-order dynamic systems with delay argument , 2018 .
[23] I. S. Jesus,et al. Fractional control of heat diffusion systems , 2008 .
[24] Jingjun Zhao,et al. Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation , 2019, Applied Numerical Mathematics.
[25] Rein Luus,et al. Optimal control of time-delay systems by dynamic programming , 1992 .
[26] S. S. Ezz-Eldien,et al. A new Legendre operational technique for delay fractional optimal control problems , 2016 .
[27] Enrico Scalas,et al. Waiting-times and returns in high-frequency financial data: an empirical study , 2002, cond-mat/0203596.
[28] Zhong Chen,et al. Piecewise Picard iteration method for solving nonlinear fractional differential equation with proportional delays , 2019, Appl. Math. Comput..
[29] Ali Vahidian Kamyad,et al. Approximation methods for solving fractional optimal control problems , 2018 .
[30] Cheng-Liang Chen,et al. Numerical solution of time-delayed optimal control problems by iterative dynamic programming , 2000 .
[31] E. Safaie,et al. An approximate method for numerically solving multi-dimensional delay fractional optimal control problems by Bernstein polynomials , 2015 .
[32] Mohammad Hadi Farahi,et al. The approximate solution of non-linear time-delay fractional optimal control problems by embedding process , 2018, IMA J. Math. Control. Inf..
[33] Yadollah Ordokhani,et al. Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations , 2018, Numerical Algorithms.
[34] Pankaj Wahi,et al. Averaging Oscillations with Small Fractional Damping and Delayed Terms , 2004 .
[35] Yadollah Ordokhani,et al. Fractional-order Boubaker functions and their applications in solving delay fractional optimal control problems , 2018 .
[36] G. Bohannan. Analog Fractional Order Controller in Temperature and Motor Control Applications , 2008 .
[37] H. Eugene Stanley,et al. The resonance behavior in the fractional harmonic oscillator with time delay and fluctuating mass , 2020 .
[38] H. Banks,et al. Hereditary Control Problems: Numerical Methods Based on Averaging Approximations , 1978 .
[39] Samaneh Soradi Zeid,et al. Approximation methods for solving fractional equations , 2019, Chaos, Solitons & Fractals.
[40] Reza Dehghan,et al. A numerical approximation for delay fractional optimal control problems based on the method of moments , 2015, IMA J. Math. Control. Inf..
[41] Michael V. Basin,et al. Optimal control for linear systems with multiple time delays in control input , 2006, IEEE Transactions on Automatic Control.