[1] M. I. Bhatti and P. Bracken, Solutions of dierential equations in a Bernstein polynomial
basis, Journal of Computational and Applied Mathematics, 205, (2007), 272 − 280.
[2] R.Y. Chang, M.L. Wang, Shifted Legendre direct method for variational problems, J.
Optim. Theory Appl. 30, (1983), 299-307.
[3] C.F. Chen, C.H. Hsiao, A Walsh series direct method for solving variational problems,
J. Franklin Inst. 300, (1975), 265-280.
[4] H.Y. Chung, Y.Y. Sun, Analysis of time-delay systems using an alternative method,
Int. J. Control 46, (1987), 1621-1631.
[5] K.B. Datta, B.M. Mohan, Orthogonal Functions in Systems and Control, World Scien-
tic, Singapore, 1995.
[6] J.S. Gu, W.S. Jiang, The Haar wavelets operational matrix of integration, Int. J. Syst.
Sci. 27, (1996), 623-628.
[7] I.R. Horng, J.H. Chou, Shifted Chebyshev direct method for solving variational prob-
lems, Int. J. Syst. Sci. 16, (1985), 855-861.
[8] C. Hwang, M.Y. Chen, Analysis of time-delay systems using the Galerkin method, Int.
J. Control 44, (1986), 847-866.
[9] C. Hwang, Y.P. Shih, Laguerre series direct method for variational problems, J. Optim.
Theory Appl. 39, (1983), 143-149.
[10] M. Jamshidi, C.M.Wang, A computational algorithm for large-scale nonlinear time-
delays systems, IEEE Trans. Syst. Man. Cybernetics SMC-14, (1984), 2-9.
[11] K. Maleknejad, Y. Mahmoudi, Numerical solution of linear Fredholm integral equation
by using hybrid Taylor and block-pulse functions, Appl. Math. Comput. 149, (2004),
799-806.
[12] H.R. Marzban, H.R. Tabrizidooz, M. Razzaghi, Solution of variational problems via
hybrid of block-pulse and Lagrange interpolating, IET Control Theory Appl. 3,(2009),
1363-1369.
[13] H.R. Marzban, M. Razzaghi, Solution of time-varying delay systems by hybrid functions,
Math. and Com. in Sim. 64, (2004), 597-607.
[14] H.R. Marzban, M. Razzaghi, Optimal control of linear delay systems via hybrid of
block-pulse and Legendre polynomials, J. Franklin Inst. 34, (2004), 279-293.
[15] H.R. Marzban, M. Razzaghi, Analysis of Time-delay Systems via Hybrid of Block-pulse
Functions and Taylor Series, J. Vibration and Con. 11, (2005), 1455-1468.
[16] P.N. Paraskevopoulos, P. Sklavounos, and G.CH. Georgiou The operation matrix of
integration for Bessel functions, Journal of the Franklin Institute, 327, (1990), 329-341.
[17] M. Razzaghi, S. Youse, The Legendre wavelets operational matrix of integration, Int.
J. Syst. Sci. 32 (4),(2001), 495-502.
[18] M. Razzaghi, S. Youse, Sine-cosine wavelets operational matrix of integration and its
applications in the calculus of variations, Int. J. Syst. Sci. vol. 33, no. 10,(2002), 805-810.
[19] M. Razzaghi, M. Razzaghi, Fourier series direct method for variational problems, Int.
J. Control 48, (1988), 887-895.
[20] M. Razzaghi, H.R. Marzban, Direct method for variational problems via hybrid of
block-pulse and Chebyshev functions, Math. Probl. Eng. 6, (2000), 85-97.
[21] X.T. Wang, Numerical solution of delay systems containing inverse time by hybrid
functions, Appl. Math. Comput. 173, (2006), 535-546.
[22] X.T. Wang, Numerical solutions of optimal control for time delay systems by hybrid
of block-pulse functions and Legendre polynomials, Appl. Math. Comput. 184, (2007),
849-856.
[23] S. A. Youse, M. Behroozifar, Operational matrices of Bernstein polynomials and their
applications, Int. J. Syst. Sci. 41, (2010), 709-716.
[24] S. A. Youse, M. Behroozifar, Mehdi Dehghan, The operational matrices of Bernstein
polynomials for solving the parabolic equation subject to specication of mass, Journal
of Computational and Applied Mathematics 235, (2011), 5272-5283.
[25] S. A. Youse, M. Behroozifar, Mehdi Dehghan, Numerical solution of the nonlinear
age-structured population models by using the operational matrices of Bernstein poly-
nomials, Applied Mathematical Modelling 36, (2012), 945-963.