Ghaderi, Najmeh; Farahi, Mohammad Hadi The numerical solution of some optimal control systems with constant and pantograph delays via Bernstein polynomials. (English) Zbl 1477.49048 Iran. J. Math. Sci. Inform. 15, No. 2, 163-181 (2020). MSC: 49M37 34K05 33C47 90C30 PDFBibTeX XMLCite \textit{N. Ghaderi} and \textit{M. H. Farahi}, Iran. J. Math. Sci. Inform. 15, No. 2, 163--181 (2020; Zbl 1477.49048) Full Text: Link
Izadi, Mohammad A comparative study of two Legendre-collocation schemes applied to fractional logistic equation. (English) Zbl 1442.65117 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 71, 18 p. (2020). MSC: 65L03 65L05 26A33 33C45 42C10 PDFBibTeX XMLCite \textit{M. Izadi}, Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 71, 18 p. (2020; Zbl 1442.65117) Full Text: DOI
Mohammadi, F. A discrete orthogonal polynomials approach for fractional optimal control problems with time delay. (English) Zbl 1524.49009 Iran. J. Numer. Anal. Optim. 9, No. 2, 49-75 (2019). MSC: 49J21 65M70 33C45 PDFBibTeX XMLCite \textit{F. Mohammadi}, Iran. J. Numer. Anal. Optim. 9, No. 2, 49--75 (2019; Zbl 1524.49009) Full Text: DOI
Mohan, B. M.; Datta, K. B. Analysis of linear time-invariant time-delay systems via orthogonal functions. (English) Zbl 0819.93036 Int. J. Syst. Sci. 26, No. 1, 91-111 (1995). MSC: 93C05 34K35 33C45 93C99 PDFBibTeX XMLCite \textit{B. M. Mohan} and \textit{K. B. Datta}, Int. J. Syst. Sci. 26, No. 1, 91--111 (1995; Zbl 0819.93036) Full Text: DOI
Zhu, Jianmin; Lu, Yongzai Application of single-step method of block-pulse functions to the optimal control of linear distributed-parameter systems. (English) Zbl 0659.93034 Int. J. Syst. Sci. 19, No. 12, 2459-2472 (1988). MSC: 93C20 42C10 93C05 35B37 33C45 35K05 44A45 PDFBibTeX XMLCite \textit{J. Zhu} and \textit{Y. Lu}, Int. J. Syst. Sci. 19, No. 12, 2459--2472 (1988; Zbl 0659.93034) Full Text: DOI
Jiang, Z. H. Block pulse function approach for the identification of Hammerstein model nonlinear systems. (English) Zbl 0659.93019 Int. J. Syst. Sci. 19, No. 12, 2427-2439 (1988). MSC: 93B30 42C10 93C10 93C15 33C45 44A45 PDFBibTeX XMLCite \textit{Z. H. Jiang}, Int. J. Syst. Sci. 19, No. 12, 2427--2439 (1988; Zbl 0659.93019) Full Text: DOI
Zhu, Jian-Min Novel approach to hierarchical control via single-term Walsh series method. (English) Zbl 0652.93005 Int. J. Syst. Sci. 19, No. 9, 1859-1870 (1988). MSC: 93A13 42A10 33C45 44A45 93C05 93A15 PDFBibTeX XMLCite \textit{J.-M. Zhu}, Int. J. Syst. Sci. 19, No. 9, 1859--1870 (1988; Zbl 0652.93005) Full Text: DOI
Shyu, Kuo-Kai; Hwang, Chyi Optimal control of linear time-varying discrete systems via discrete Legendre orthogonal polynomials. (English) Zbl 0651.93044 J. Franklin Inst. 325, No. 4, 509-525 (1988). MSC: 93C55 44A55 33C45 93C05 PDFBibTeX XMLCite \textit{K.-K. Shyu} and \textit{C. Hwang}, J. Franklin Inst. 325, No. 4, 509--525 (1988; Zbl 0651.93044) Full Text: DOI
Zhu, Jian-Min; Lu, Yong-Zai Hierarchical optimal control for distributed parameter systems via block pulse operator. (English) Zbl 0651.93005 Int. J. Control 48, No. 2, 685-703 (1988). MSC: 93A13 42C10 93C20 33C45 44A45 93B40 35B37 35K05 93C05 PDFBibTeX XMLCite \textit{J.-M. Zhu} and \textit{Y.-Z. Lu}, Int. J. Control 48, No. 2, 685--703 (1988; Zbl 0651.93005) Full Text: DOI
Chang, Rong-Yeu; Yang, Shwu-Yien; Wang, Maw-Ling Solution of a scaled system via generalized orthogonal polynomials. (English) Zbl 0628.93035 Int. J. Syst. Sci. 18, 2369-2382 (1987). MSC: 93C30 42C10 44A45 33C45 93B40 PDFBibTeX XMLCite \textit{R.-Y. Chang} et al., Int. J. Syst. Sci. 18, 2369--2382 (1987; Zbl 0628.93035) Full Text: DOI
Jiang, Z. H. Block-pulse function approach to the identification of MIMO-systems and time-delay systems. (English) Zbl 0623.93018 Int. J. Syst. Sci. 18, 1711-1720 (1987). MSC: 93B30 42C10 93C05 33C45 34K35 44A45 PDFBibTeX XMLCite \textit{Z. H. Jiang}, Int. J. Syst. Sci. 18, 1711--1720 (1987; Zbl 0623.93018) Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong New approach to the optimal control of delay systems via Chebyshev series. (English) Zbl 0619.93043 J. Franklin Inst. 323, 95-102 (1987). MSC: 93C30 34K35 42C10 33C45 44A45 93C05 PDFBibTeX XMLCite \textit{J.-H. Chou} and \textit{I.-R. Horng}, J. Franklin Inst. 323, 95--102 (1987; Zbl 0619.93043) Full Text: DOI
Ranganathan, V.; Jha, A. N.; Rajamani, V. S. Identification of lumped linear time-varying systems via Laguerre polynomials. (English) Zbl 0612.93015 Int. J. Syst. Sci. 18, 673-680 (1987). MSC: 93B30 42C10 93C05 33C45 44A45 93B40 93C15 PDFBibTeX XMLCite \textit{V. Ranganathan} et al., Int. J. Syst. Sci. 18, 673--680 (1987; Zbl 0612.93015) Full Text: DOI
Wang, Maw-Ling; Yang, Shwu-Yien; Chang, Rong-Yeu Analysis of systems with multiple time-varying delays via generalized block pulse functions. (English) Zbl 0611.93032 Int. J. Syst. Sci. 18, 543-552 (1987). MSC: 93C05 34K35 42C10 33C45 44A45 PDFBibTeX XMLCite \textit{M.-L. Wang} et al., Int. J. Syst. Sci. 18, 543--552 (1987; Zbl 0611.93032) Full Text: DOI
Chou, Jyh-Horng Analysis and identification of scaled systems via shifted Jacobi series. (English) Zbl 0609.93035 Int. J. Syst. Sci. 18, 33-41 (1987). MSC: 93C30 42C10 93B30 33C45 44A45 93C05 PDFBibTeX XMLCite \textit{J.-H. Chou}, Int. J. Syst. Sci. 18, 33--41 (1987; Zbl 0609.93035) Full Text: DOI
Tsay, Yuh-Feng; Lee, Tsu-Tian Solution of discrete scaled systems via general discrete orthogonal polynomials. (English) Zbl 0598.93041 Int. J. Control 44, 1715-1724 (1986). MSC: 93C55 33C45 93C05 44A55 PDFBibTeX XMLCite \textit{Y.-F. Tsay} and \textit{T.-T. Lee}, Int. J. Control 44, 1715--1724 (1986; Zbl 0598.93041) Full Text: DOI
Horng, Ing-Rong; Ho, Shinn-Jang Synthesis of digital control systems using discrete Walsh polynomials. (English) Zbl 0595.93019 Int. J. Syst. Sci. 17, 1399-1408 (1986). MSC: 93B50 42C10 93C55 33C45 44A55 93C05 93C99 PDFBibTeX XMLCite \textit{I.-R. Horng} and \textit{S.-J. Ho}, Int. J. Syst. Sci. 17, 1399--1408 (1986; Zbl 0595.93019) Full Text: DOI
Lee, Tsu-Tian; Chang, Yih-Fong Analysis, parameter estimation and optimal control of nonlinear systems via general orthogonal polynomials. (English) Zbl 0594.93038 Int. J. Control 44, 1089-1102 (1986). MSC: 93C10 42C10 93B30 33C45 44A45 PDFBibTeX XMLCite \textit{T.-T. Lee} and \textit{Y.-F. Chang}, Int. J. Control 44, 1089--1102 (1986; Zbl 0594.93038) Full Text: DOI
Paraskevopoulos, P. N. System analysis and synthesis via orthogonal polynomial series and Fourier series. (English) Zbl 0584.93023 Math. Comput. Simulation 27, 453-469 (1985). Reviewer: S.Tzafestas MSC: 93B50 42C10 44A45 33C45 42A16 93B30 93B35 PDFBibTeX XMLCite \textit{P. N. Paraskevopoulos}, Math. Comput. Simul. 27, 453--469 (1985; Zbl 0584.93023) Full Text: DOI
Mouroutsos, S. G.; Paraskevopoulos, P. N. Identification of time-varying linear systems using orthogonal functions. (English) Zbl 0576.93020 J. Franklin Inst. 320, 249-258 (1985). MSC: 93B30 42C10 93C05 33C45 44A45 93C99 PDFBibTeX XMLCite \textit{S. G. Mouroutsos} and \textit{P. N. Paraskevopoulos}, J. Franklin Inst. 320, 249--258 (1985; Zbl 0576.93020) Full Text: DOI
Marszałek, Wiesław On the nature of block-pulse operational matrices: Some further results. (English) Zbl 0569.93015 Int. J. Syst. Sci. 16, 727-743 (1985). MSC: 93B17 44A15 44A45 33C45 42C10 34K35 93C10 93C99 PDFBibTeX XMLCite \textit{W. Marszałek}, Int. J. Syst. Sci. 16, 727--743 (1985; Zbl 0569.93015) Full Text: DOI
Lee, Li; Kung, Fanchu Shifted Legendre series solution and parameter estimation of linear delayed systems. (English) Zbl 0568.93028 Int. J. Syst. Sci. 16, 1249-1256 (1985). MSC: 93C05 34K35 42C10 33C45 93B30 93C99 PDFBibTeX XMLCite \textit{L. Lee} and \textit{F. Kung}, Int. J. Syst. Sci. 16, 1249--1256 (1985; Zbl 0568.93028) Full Text: DOI
Sivaramakrishnan, A. Y.; Srisailam, M. C. Walsh series solution of second-order state-space systems. (English) Zbl 0567.93031 Int. J. Syst. Sci. 16, 633-639 (1985). MSC: 93B40 42C10 93C15 33C45 93C05 70G10 PDFBibTeX XMLCite \textit{A. Y. Sivaramakrishnan} and \textit{M. C. Srisailam}, Int. J. Syst. Sci. 16, 633--639 (1985; Zbl 0567.93031) Full Text: DOI
Hwang, Chyi; Chen, Muhyang Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials. (English) Zbl 0562.93035 Int. J. Control 41, 1317-1330 (1985). MSC: 93C05 42C10 93C99 33C45 44A45 34K35 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{M. Chen}, Int. J. Control 41, 1317--1330 (1985; Zbl 0562.93035) Full Text: DOI
Horng, Ingrong; Chou, Jyhhorng Analysis, parameter estimation and optimal control of time-delay systems via Chebyshev series. (English) Zbl 0562.93034 Int. J. Control 41, 1221-1234 (1985). MSC: 93C05 34K35 42C10 33C45 44A45 93B30 93C99 PDFBibTeX XMLCite \textit{I. Horng} and \textit{J. Chou}, Int. J. Control 41, 1221--1234 (1985; Zbl 0562.93034) Full Text: DOI
Palanisamy, K. R.; Arunachalam, V. P. Solution of variational problems using block pulse functions. (English) Zbl 0558.49016 Int. J. Syst. Sci. 16, 257-267 (1985). Reviewer: W.Collins MSC: 49M37 42C10 90C20 33C45 65K10 93B40 PDFBibTeX XMLCite \textit{K. R. Palanisamy} and \textit{V. P. Arunachalam}, Int. J. Syst. Sci. 16, 257--267 (1985; Zbl 0558.49016) Full Text: DOI
Hwang, Chyi; Chen, Muhyang Analysis and parameter identification of time-delay systems via shifted Legendre polynomials. (English) Zbl 0555.93014 Int. J. Control 41, 403-415 (1985). MSC: 93B30 34K05 42C10 33C45 44A45 93B40 93C15 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{M. Chen}, Int. J. Control 41, 403--415 (1985; Zbl 0555.93014) Full Text: DOI
Hwang, Chyi; Guo, Tongyi Parameter identification of a class of time-varying systems via orthogonal shifted Legendre polynomials. (English) Zbl 0589.93012 J. Franklin Inst. 318, 59-69 (1984). Reviewer: P.Paraskevopoulos MSC: 93B30 42C10 93C99 33C45 65F20 93B40 93C05 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{T. Guo}, J. Franklin Inst. 318, 59--69 (1984; Zbl 0589.93012)
Hwang, Chyi Solution of a scaled system via Chebyshev polynomials. (English) Zbl 0543.93032 J. Franklin Inst. 318, 233-241 (1984). MSC: 93C15 33C45 34K05 42C10 PDFBibTeX XMLCite \textit{C. Hwang}, J. Franklin Inst. 318, 233--241 (1984; Zbl 0543.93032) Full Text: DOI
Hwang, Chyi; Guo, Tongyi Identification of lumped linear time-varying systems via block-pulse functions. (English) Zbl 0543.93016 Int. J. Control 40, 571-583 (1984). MSC: 93B30 42C10 93C05 33C45 44A45 93B40 93C99 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{T. Guo}, Int. J. Control 40, 571--583 (1984; Zbl 0543.93016) Full Text: DOI
Rao, Ganti Prasada; Palanisamy, K. R. Analysis of time-delay systems via Walsh functions. (English) Zbl 0539.93044 Int. J. Syst. Sci. 15, 9-30 (1984). Reviewer: P.Paraskevopoulos MSC: 93C15 34K99 42C10 33C45 44A45 93C05 93C35 93B40 65L99 PDFBibTeX XMLCite \textit{G. P. Rao} and \textit{K. R. Palanisamy}, Int. J. Syst. Sci. 15, 9--30 (1984; Zbl 0539.93044) Full Text: DOI
Bohn, E. V. Recursive evaluation of Walsh coefficients for multiple integrals of Walsh series. (English) Zbl 0539.93020 Automatica 20, 243-246 (1984). Reviewer: P.Paraskevopoulos MSC: 93B30 93C57 42C10 93C05 93C35 33C45 44A15 44A45 93C99 PDFBibTeX XMLCite \textit{E. V. Bohn}, Automatica 20, 243--246 (1984; Zbl 0539.93020) Full Text: DOI
Paraskevopoulos, P. N. Chebyshev series approach to system identification, analysis and optimal control. (English) Zbl 0538.93013 J. Franklin Inst. 316, 135-157 (1983). Reviewer: N.Christov MSC: 93B30 33C45 93B50 42C10 93B40 93C05 93C99 PDFBibTeX XMLCite \textit{P. N. Paraskevopoulos}, J. Franklin Inst. 316, 135--157 (1983; Zbl 0538.93013) Full Text: DOI