| Title:
|
Suboptimal control of linear delay systems via Legendre series (English) |
| Author:
|
Razzaghi, M. |
| Author:
|
Habibi, M. F. |
| Author:
|
Fayzebakhsh, R. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
31 |
| Issue:
|
5 |
| Year:
|
1995 |
| Pages:
|
509-518 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49K25 |
| MSC:
|
49M29 |
| MSC:
|
49M30 |
| idZBL:
|
Zbl 0897.49018 |
| idMR:
|
MR1361311 |
| . |
| Date available:
|
2009-09-24T18:57:59Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124779 |
| . |
| Reference:
|
[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 0740948 |
| Reference:
|
[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 0123073 |
| Reference:
|
[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 0320869 |
| Reference:
|
[4] M. Jamshidi, M. Razzaghi: Optimization of linear systems with input time-delay.Kybernetika 11 (1975), 375-384. Zbl 0333.49036, MR 0446641 |
| Reference:
|
[5] M. MaleK-Zavarei: Near-optimum design of nonstationary linear systems with state and control delays.J. Optim. Theory Appl. 50 (1980), 73-88. Zbl 0394.49017, MR 0562197 |
| Reference:
|
[6] M. S. Corrington: Solutions of differential and integral equations with Walsh functions.IEEE Trans. Circuit Theory 20 (1973), 470-476. |
| Reference:
|
[7] C. Hwang, Y. P. Shih: Optimal control of delay systems via block pulse functions.J. Optim. Theory Appl. 45 (1985), 101-112. Zbl 0541.93031, MR 0778160 |
| Reference:
|
[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 1042680 |
| Reference:
|
[9] C. Hwang, Y. P. Shih: Solution of integral equations via Laguerre polynomias.Comput. Electr. Engrg. 9 (1982), 123-129. |
| Reference:
|
[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. Zbl 0714.49032, MR 1042679 |
| Reference:
|
[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. Zbl 0562.93034, MR 0792938 |
| Reference:
|
[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 0586.93026 |
| Reference:
|
[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 1082397 |
| Reference:
|
[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 0586.93048 |
| Reference:
|
[15] I. S. Gradshteyn, I. M. Ryzhik: Tables of Integrals, Series and Products.Academic Press, New York 1979. |
| Reference:
|
[16] C. Canuto M. Y. Hussaini, and T. A. Zang: Spectral Methods in Fluid Dynamics.Springer-Verlag, New York 1988. MR 0917480 |
| Reference:
|
[17] P. Lancaster: Theory of Matrices.Academic Press, New York 1969. Zbl 0186.05301, MR 0245579 |
| . |
