Geodesic
Suboptimal control of linear delay systems via Legendre series
Kybernetika, Tome 31 (1995) no. 5, pp. 509-518 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 49K25, 49M29, 49M30 
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     title = {Suboptimal control of linear delay systems via {Legendre} series},
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}
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Razzaghi, M.; Habibi, M. F.; Fayzebakhsh, R. Suboptimal control of linear delay systems via Legendre series. Kybernetika, Tome 31 (1995) no. 5, pp. 509-518. http://geodesic.mathdoc.fr/item/KYB_1995_31_5_a6/

[1] M. Jamshidi, C. M. Wang: A computational algorithm for large-scale nonlinear time-delays systems. IEEE Trans. Systems Man Cybernet. SMC-14 (1984), 2-9. | MR

[2] G. L. Kharatishvili: The maximum principle in the theory of optimal process with time-lags. Dokl. Akad. Nauk SSSR 136 (1961), 39-42. | MR

[3] K. Inoue H. Akaski K. Ogino, Y. Sawaragi: Sensitivity approaches to optimization of linear system with time delay. Automatica 7 (1971), 671-679. | MR

[4] M. Jamshidi, M. Razzaghi: Optimization of linear systems with input time-delay. Kybernetika 11 (1975), 375-384. | MR | Zbl

[5] M. MaleK-Zavarei: Near-optimum design of nonstationary linear systems with state and control delays. J. Optim. Theory Appl. 50 (1980), 73-88. | MR | Zbl

[6] M. S. Corrington: Solutions of differential and integral equations with Walsh functions. IEEE Trans. Circuit Theory 20 (1973), 470-476.

[7] C. Hwang, Y. P. Shih: Optimal control of delay systems via block pulse functions. J. Optim. Theory Appl. 45 (1985), 101-112. | MR | Zbl

[8] P. N. Paraskevopoulo P. G. Sklavounos, G. Ch. Georgiou: The operation matrix of integration for Bessel functions. J. Franklin Inst. 557 (1990), 329-341. | MR

[9] C. Hwang, Y. P. Shih: Solution of integral equations via Laguerre polynomias. Comput. Electr. Engrg. 9 (1982), 123-129.

[10] M. Razzaghi, M. Razzaghi: Solution of linear two-point boundary value problems and optimal control of time-varying systems by shifted Chebyshev approximations. J. Franklin Inst. 557 (1990), 321-328. | MR | Zbl

[11] I. R. Horng, J. H. Chou: Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series. Internat. J. Control 41 (1985), 1221-1234. | MR | Zbl

[12] M. H. Perng: Direct approach for the optimal control of linear time-delay systems via shifted Legendre polynomials. Internat. J. Control 43 (1986), 1897-1904. | Zbl

[13] M. Razzaghi M. Razzaghi, and A. Arabshahi: Solutions of convolution integral and Fredholm integral equation via double Fourier series. Appl. Math. Comput. 40 (1990), 215-224. | MR

[14] C. Hwang, M. Y. Chen: A direct approach using the shifted Legendre series expansion for near optimum control of linear time-varying systems with multiple state and control delays. Internat. J. Control 43 (1986), 1673-1692. | Zbl

[15] I. S. Gradshteyn, I. M. Ryzhik: Tables of Integrals, Series and Products. Academic Press, New York 1979.

[16] C. Canuto M. Y. Hussaini, and T. A. Zang: Spectral Methods in Fluid Dynamics. Springer-Verlag, New York 1988. | MR

[17] P. Lancaster: Theory of Matrices. Academic Press, New York 1969. | MR | Zbl