Ho, Wen-Hsien; Chou, Jyh-Horng Solutions of time-varying TS-fuzzy-model-based dynamic equations using a shifted Chebyshev series approach. (English) Zbl 1122.93367 Int. J. Syst. Sci. 36, No. 12, 767-776 (2005). MSC: 93C42 93A30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, L. M.; Billings, S. A. Continuous-time system identification using shifted Chebyshev polynomials. (English) Zbl 1059.93503 Int. J. Syst. Sci. 32, No. 3, 303-306 (2001). MSC: 93B30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Wei-Min; Guo, Shu-Mei; Shieh, Leang-San Discretization of cascaded continuous-time controllers for state and input delayed systems. (English) Zbl 1080.93632 Int. J. Syst. Sci. 31, No. 3, 287-296 (2000). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Jaddu, Hussein; Shimemura, Etsujiro Computational method based on state parametrization for solving constrained nonlinear optimal control problems. (English) Zbl 1003.49023 Int. J. Syst. Sci. 30, No. 3, 275-282 (1999). MSC: 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Jaddu, Hussein; Shimemura, Etsujiro Construction of optimal feedback control for nonlinear systems via Chebyshev polynomials. (English) Zbl 1038.93518 Int. J. Syst. Sci. 29, No. 9, 921-929 (1998). MSC: 93C10 93B52 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Dzielski, John E.; Driscoll, Tobin A. Error bound on the solution of a linear differential equation in Chebyshev series. (English) Zbl 0782.93048 Int. J. Syst. Sci. 24, No. 7, 1317-1327 (1993). MSC: 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Gera, Amos E. Bode’s integral revisited. (English) Zbl 0725.93037 Int. J. Syst. Sci. 22, No. 4, 667-674 (1991). MSC: 93B40 93B50 65D30 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Razzaghi, Mohsen; Razzaghi, Mehdi Functional approximation for inversion of Laplace transforms via polynomial series. (English) Zbl 0684.65110 Int. J. Syst. Sci. 20, No. 7, 1131-1139 (1989). Reviewer: M.Z.Nashed MSC: 65R10 44A10 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Jiong; Zhu, Shanan Numerical solution for a class of open-loop differential games via the shifted Chebyshev polynomial approximation. (English) Zbl 0681.90100 Int. J. Syst. Sci. 20, No. 2, 171-179 (1989). Reviewer: O.I.Nikonov MSC: 91A23 × Cite Format Result Cite Review PDF Full Text: DOI
Palanisamy, K. R.; Raghunathan, K. G. Single-term Walsh series analysis of linear optimal control systems incorporating observers. (English) Zbl 0678.93026 Int. J. Syst. Sci. 20, No. 7, 1149-1155 (1989). MSC: 93B50 49K15 42C10 × Cite Format Result Cite Review PDF Full Text: DOI
Mohan, B. M.; Datta, K. B. Analysis of time-delay systems via shifted Chebyshev polynomials of the first and second kinds. (English) Zbl 0652.93029 Int. J. Syst. Sci. 19, No. 9, 1843-1851 (1988). MSC: 93C30 34K35 42C10 33C45 44A45 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Tsu-Tian; Tsay, Shuh-Chuan Solution of linear dynamic systems with initial or boundary value conditions by shifted Chebyshev approximations. (English) Zbl 0647.93031 Int. J. Syst. Sci. 19, No. 7, 1225-1234 (1988). MSC: 93C05 42C10 44A45 33C45 93B40 93B17 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Ching-Yu; Chen, Cha’o-Kuang Linear optimal control systems by reduced-order observers via orthogonal functions. (English) Zbl 0636.93038 Int. J. Syst. Sci. 19, No. 1, 23-32 (1988). MSC: 93C05 42C10 93B07 33C45 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Horng, Ingrong; Chou, Jyhhorng Solution of linear two-point boundary-value problems via shifted Chebyshev series. (English) Zbl 0633.65073 Int. J. Syst. Sci. 18, 293-300 (1987). Reviewer: H.Ade MSC: 65L10 34B05 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Tsay, Shuh-Chuan; Lee, Tsu-Tian Analysis and optimal control of linear time-varying systems via general orthogonal polynomials. (English) Zbl 0622.93038 Int. J. Syst. Sci. 18, 1579-1594 (1987). MSC: 93C99 42C10 93C05 33C45 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chao-Kuang; Kuo, Shin-Gia; Yang, Ching-Yu Solution of variational problems using the Fourier series operational matrix. (English) Zbl 0615.49015 Int. J. Syst. Sci. 18, 799-817 (1987). MSC: 49M99 42A16 44A45 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Uosaki, Katsuji; Tanaka, Ippei; Sugiyama, Hiroshi Optimal input for discrimination of autoregressive models under output amplitude constraints. (English) Zbl 0614.62119 Int. J. Syst. Sci. 18, 323-332 (1987). MSC: 62M10 93E12 62M99 62K99 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Wen-Liang; Chen, Chao-Shiung Error analysis of the Chebyshev series solution of linear time invariant systems. (English) Zbl 0611.93021 Int. J. Syst. Sci. 18, 955-963 (1987). MSC: 93B40 65G99 93C05 33C45 42C10 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong Parameter identification of nonlinear systems via shifted Chebyshev series. (English) Zbl 0611.93016 Int. J. Syst. Sci. 18, 895-900 (1987). MSC: 93B30 44A45 93C10 33C45 42C10 93C15 93E12 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Tsu-Tian; Tsay, Shuh-Chuan Analysis of linear time-varying systems and bilinear systems via shifted Chebyshev polynomials of the second kind. (English) Zbl 0598.93038 Int. J. Syst. Sci. 17, 1757-1766 (1986). MSC: 93C99 33C45 44A45 42C10 93C05 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Horng, Ing-Rong; Chou, Jyh-Horng New approach to the optimal control of time-varying linear systems via Chebyshev series. (English) Zbl 0589.93026 Int. J. Syst. Sci. 17, 453-458 (1986). MSC: 93C05 42C10 93C99 33C45 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Chou, Jyh-horng; Horng, Ing-rong On a functional approximation for inversion of Laplace transforms via shifted Chebyshev series. (English) Zbl 0588.44002 Int. J. Syst. Sci. 17, 735-739 (1986). Reviewer: S.D.Bajpai MSC: 44A15 44A20 65R10 × Cite Format Result Cite Review PDF Full Text: DOI
Shih, Yen-ping; Liu, Cheng-Chiian Parameter estimation of time-varying systems via Chebyshev polynomials of the second kind. (English) Zbl 0586.93012 Int. J. Syst. Sci. 17, 849-858 (1986). MSC: 93B30 33C45 93C99 42C10 44A45 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Horng, Ing-Rong; Chou, Jyh-Horng; Tsai, Chung-Hsing Analysis and identification of linear distributed systems via Chebyshev series. (English) Zbl 0585.93035 Int. J. Syst. Sci. 17, 1089-1095 (1986). MSC: 93C20 42C10 93B30 33C45 44A45 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong Parameter identification of lumped time-varying systems via shifted Chebyshev series. (English) Zbl 0583.93010 Int. J. Syst. Sci. 17, 459-464 (1986). MSC: 93B30 42C10 93C05 33C45 44A45 93C99 × Cite Format Result Cite Review PDF Full Text: DOI
Horng, Ing-rong; Chou, Jyh-horng; Tsai, Chung-hsing Application of shifted Chebyshev series to the optimal control of scaled systems. (English) Zbl 0581.93027 Int. J. Syst. Sci. 17, 679-685 (1986). MSC: 93C05 42C10 93B40 33C45 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Shih, Dong-her; Kung, Fan-chu Analysis and parameter estimation of non-linear systems via shifted Chebyshev expansions. (English) Zbl 0579.93031 Int. J. Syst. Sci. 17, 231-240 (1986). MSC: 93C10 42C10 93B30 33C45 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelmalek, Nabih N. Piecewise linear \(L_ 1\) approximation of planar curves. (English) Zbl 0591.65014 Int. J. Syst. Sci. 16, 447-455 (1985). Reviewer: B.D.Bojanov MSC: 65D10 41A15 × Cite Format Result Cite Review PDF Full Text: DOI
Sparis, Panagiotis D.; Mouroutsos, Spyridon G. The operational matrix of polynomial series transformation. (English) Zbl 0579.44006 Int. J. Syst. Sci. 16, 1173-1184 (1985). Reviewer: J.Chrastina MSC: 44A55 94A11 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chengchiian; Shih, Yenping Analysis and parameter identification of linear systems via Chebyshev polynomials of the second kind. (English) Zbl 0568.93029 Int. J. Syst. Sci. 16, 753-759 (1985). MSC: 93C05 42C10 93B30 33C45 93C99 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Chebyshev series analysis and identification of scaled systems. (English) Zbl 0568.93027 Int. J. Syst. Sci. 16, 1157-1162 (1985). MSC: 93C05 42C10 93B30 33C45 44A45 × Cite Format Result Cite Review PDF Full Text: DOI
Ingrong, Horng; Jyhhorng, Chou Shifted Chebyshev direct method for solving variational problems. (English) Zbl 0568.49019 Int. J. Syst. Sci. 16, 855-861 (1985). MSC: 49M05 33C45 49K15 42C10 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Paraskevopoulos, P. N.; Sparis, P. D.; Mouroutsos, S. G. The Fourier series operational matrix of integration. (English) Zbl 0558.44004 Int. J. Syst. Sci. 16, 171-176 (1985). Reviewer: S.P.Goyal MSC: 44A45 93E12 93C15 33C45 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelmalek, Nabih N. Linear one-sided approximation algorithms for the solution of overdetermined systems of linear inequalities. (English) Zbl 0548.65021 Int. J. Syst. Sci. 15, 1-8 (1984). Reviewer: S.Zlobec MSC: 65F20 65K05 68T10 90C05 × Cite Format Result Cite Review PDF Full Text: DOI
Hwang, Rueyyinn; Shih, Yenping Model reduction of discrete systems via discrete Chebyshev polynomials. (English) Zbl 0529.93044 Int. J. Syst. Sci. 15, 301-308 (1984). MSC: 93C55 42C10 44A55 33C45 93B17 93C05 93C99 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelmalek, Nabih N. Piecewise linear Chebyshev approximation of planar curves. (English) Zbl 0506.65008 Int. J. Syst. Sci. 14, 425-435 (1983). MSC: 65D15 65K05 41A50 90C05 × Cite Format Result Cite Review PDF Full Text: DOI
Abdelmalek, Nabih N. Chebyshev approximation algorithm for linear inequalities and its applications to pattern classification. (English) Zbl 0472.65052 Int. J. Syst. Sci. 12, 963-975 (1981). MSC: 65K05 90C05 68T10 × Cite Format Result Cite Review PDF Full Text: DOI