bibitem{1} Magin R. L. (2006). ``Fractional calculus in bioengineering'', Chicago: Begell House.
bibitem{2} Jumarie G. (2008). ``Modeling fractional stochastic systems as non-random fractional dynamics driven by Brownian motions'', Applied Mathematical Modelling, 32(5), 836--859.
bibitem{3} Tricaud C., Chen Y. Q. (2012). ``Optimal Mobile Sensing and Actuation Policies in Cyber-physical Systems'', Londo: Springer-Verlag.
bibitem{4} Oldham K. B., Spanier J. (1974). ``The fractional calculus'', Academic Press, New York.
bibitem{5} Monje C. A., Chen Y., Vinagre B. M., Xue D., Feliu-Batlle V. (2010). ``Fractional-order Systems and Controls: Fundamentals and Applications'', Springer-Verlag, London.
bibitem{6} Jajarmi A., Baleanu D. (2017). ``Suboptimal control of fractional-order dynamic systems with delay argument'', Journal of Vibration and Control, 24(12), 2430--2446. %doi: 10.1177/1077546316687936.
bibitem{7} Kilbas A. A., Srivastava, H. M., Trujillo J. J. (2006). ``Theory and Applications of Fractional Differential Equations'', 204, Elsevier Science.
bibitem{8} Kowalski E. (2006). ``Bernstein Polynomials and Brownian Motion'', The American Mathematical Monthly, 113(10), 865--886. %doi: 10.2307/27642086.
bibitem{9} Hasan M. M., Tangpong X. W., Agrawal O. P. (2011). ``Fractional optimal control of distributed systems in spherical and cylindrical coordinates", Journal of Vibration and Control, 18, 1506--1525.
bibitem{10} "{O}zdemir N., Agrawal O. P., Karadeniz D., İskender B. B. (2009). ``Fractional optimal control problem of an axis-symmetric diffusion-wave propagation", Physica Scripta, T136 014024.
bibitem{10b} Nemati A., Yousefi S. A., Soltanian F., Saffar-Ardabili J. (2016). ``An efficient numerical solution of fractional optimal control problems by using the Ritz method and Bernstein operational matrix'', Asian Journal of Control, 18(6), 2272--2282.
bibitem{10c} Mamehrashi K., Nemati A. (2019). ``A new approach for solving infinite horizon optimal control problems using Laguerre functions and Ritz spectral method'', International Journal of Computer Mathematics. %DOI: 10.1080/00207160.2019.162,
bibitem{11} Bhrawy A. H., Doha, E. H., Tenreiro Machado, J. A., Ezz-Eldien, S. S. (2015). ``An Efficient Numerical Scheme for Solving Multi-Dimensional Fractional Optimal Control Problems With a Quadratic Performance Index. Asian Journal of Contro''l, 17(6), 2389--2402. %doi: 10.1002/asjc.1109.
bibitem{12} Nemati A., Mamehrashi, K. (2019). ``The Use of the Ritz Method and Laplace Transform for Solving 2D Fractional Order Optimal Control Problems Described by the Roesser Model'', Asian Journal of Control, 21(4), 1--13.
bibitem{12b} Taherpour V., Nazari M., Nemati A. (2020). ``A new numerical Bernoulli polynomial method for solving fractional optimal control problems with vector components", Computational Methods for Differential Equations, Accepted paper.%DOI:10.22034/cmde.2020.34992.1598
bibitem{13} Agrawal O. P., Baleanu D. (2007). ``A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems'', Journal of Vibration and Control, 13(9-10), 1269--1281. %doi: 10.1177/1077546307077467
bibitem{14} Maleki M., Hashim I., Abbasbandy S., Alsaedi A. (2015). ``Direct solution of a type of constrained fractional variational problems via an adaptive pseudospectral method'', Journal of Computational and Applied Mathematics, 283, 41--57. %doi: https://doi.org/10.1016/j.cam.2015.01.019
bibitem{14b} Nemati A., Yousefi S. A. (2016). ``A numerical method for solving fractional optimal control problems using Ritz method'', Journal of Computational and Nonlinear Dynamics, 11, 1--7.
bibitem{15} Lotfi A., Yousefi S. A., Dehghan M. (2013). ``Numerical solution of a class of fractional optimal control problems via the Legendre orthonormal basis combined with the operational matrix and the Gauss quadrature rule'', Journal of Computational and Applied Mathematics, 250, 143--160. %doi: https://doi.org/10.1016/j.cam.2013.03.003
bibitem{16} Doha E. H., Bhrawy A. H., Baleanu D., Ezz-Eldien S. S., Hafez R. M. (2015). ``An efficient numerical scheme based on the shifted orthonormal Jacobi polynomials for solving fractional optimal control problems'', Advances in Difference Equations, 2015(1), 15. %doi: 10.1186/s13662-014-0344-z
bibitem{17} Lotfi A., Dehghan M., Yousefi S. A. (2011). ``A numerical technique for solving fractional optimal control problems'', Computers & Mathematics with Applications, 62(3), 1055--1067. %doi: https://doi.org/10.1016/j.camwa.2011.03.044
bibitem{18} Trujillo J. J., Ungureanu V. M. (2018). ``Optimal control of discrete-time linear fractional-order systems with multiplicative noise'', International Journal of Control, 91(1), 57--69. %doi: 10.1080/00207179.2016.1266520
bibitem{18a} Ahadpour S., Nemati A., Mirmasoudi F., Hematpour N. (2018). ``Projective synchronization of piecewise nonlinear Chaotic maps'', Theoretical and Mathematical Physics, 197(3), 1856--1864.
bibitem{19} FujishlGe S., Sawaragl Y. (1975). ``Optimal control for linear continuous-time systems with general noises based upon sampled data. International Journal of Systems Science'', 6(12), 1111--1118. %doi: 10.1080/00207727508941890
bibitem{20} Saadatmandi A. (2014). ``Bernstein operational matrix of fractional derivatives and its applications'', Applied Mathematical Modelling, 38(4), 1365--1372. %doi: https://doi.org/10.1016/j.apm.2013.08.007
bibitem{20b} Nemati A. (2017). ``Numerical solution of 2D fractional optimal control problems by the spectral method along with Bernstein operational matrix'', International Journal of Control, %https://doi.org/10.1080/00207173429.2017.1367.
bibitem{21} Farin G. (1993). ``Curves and Surfaces for CAGD'', Academic Press, Boston.
bibitem{22} R. T. F., T. N. T. G. (2003). ``Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains''.
bibitem{23} G. M. P. (2003). ``Interpolation and Approximation by Polynomials''.
bibitem{24} Samko S. G., Kilbas A. A., Marichev O. I. (1993). ``Fractional Integrals and Derivatives. Theory and Applications'', Gordon and Breach Science Publishers, Yverdon.
bibitem{25} Wu Z., Sun X., Ma L. (2013). ``Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates. Advances in Computational Mathematics'', 38(1), 187--205. %doi: 10.1007/s10444-011-9233-0
bibitem{26} Rivlin T. J. (1981). ``An Introduction to the Approximation of Functions'', Courier Corporation, New York.
bibitem{27} J"{u}ttler B. (1998). ``The dual basis functions for the Bernstein polynomials. Advances in Computational Mathematics'', 8(4), 345--352. %doi: 10.1023/A:1018912801267
bibitem{28} Rudas I. J., Tar J. K., Patkai B. (2006). ``Compensation of dynamic friction by a fractional order robust controller'', Paper presented at the IEEE International Cconference on Computational Cybernetics, Budapest.
bibitem{29} Petrovacki N., Jelicic Z. D. (2006). ``Optimal transient response of erbium-doped fiber amplifiers Paper presented at the IEEE international conference on numerical simulation of semiconductor optoelectronic devices'', Singapore.
bibitem{30} Kreyszig E. (1978). ``Introductory Functional Analysis with Applications'', John Wiley and Sons, Inc., New York.
bibitem{31} Shakoor P., Ricardo A., Delfim F. M. T. (2013). ``Fractional order optimal control problems with free terminal time'', Journal of Industrial & Management Optimization, 10(2), 363--381.