Maleknejad, Khosrow; Rashidinia, Jalil; Eftekhari, Tahereh Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz-Legendre wavelets approach. (English) Zbl 07777718 Numer. Methods Partial Differ. Equations 37, No. 1, 707-731 (2021). MSC: 65M70 65T60 65D32 65H10 65F10 65M12 65M15 44A10 35R11 PDFBibTeX XMLCite \textit{K. Maleknejad} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 707--731 (2021; Zbl 07777718) Full Text: DOI
Mishra, Vinod; Rani, Dimple Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations. (English) Zbl 1457.65249 Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 60, 28 p. (2020). Reviewer: Nikhil Khanna (New Delhi) MSC: 65R10 44A10 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{V. Mishra} and \textit{D. Rani}, Proc. Indian Acad. Sci., Math. Sci. 130, No. 1, Paper No. 60, 28 p. (2020; Zbl 1457.65249) Full Text: DOI
Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Escobar-Jiménez, R. F.; Astorga-Zaragoza, C. M.; Reyes-Reyes, J. Analytical and numerical solutions of electrical circuits described by fractional derivatives. (English) Zbl 1480.94053 Appl. Math. Modelling 40, No. 21-22, 9079-9094 (2016). MSC: 94C05 26A33 33E12 44A10 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Appl. Math. Modelling 40, No. 21--22, 9079--9094 (2016; Zbl 1480.94053) Full Text: DOI
Valkó, Peter P.; Abate, Joseph Numerical inversion of 2-D Laplace transforms applied to fractional diffusion equations. (English) Zbl 1060.65681 Appl. Numer. Math. 53, No. 1, 73-88 (2005). MSC: 65R10 44A10 35A22 35K15 PDFBibTeX XMLCite \textit{P. P. Valkó} and \textit{J. Abate}, Appl. Numer. Math. 53, No. 1, 73--88 (2005; Zbl 1060.65681) Full Text: DOI
Hwang, Chyi; Lu, Ming-Jeng Numerical inversion of 2-D Laplace transforms by fast Hartley transform computations. (English) Zbl 0965.65142 J. Franklin Inst. 336, No. 6, 955-972 (1999). MSC: 65R10 44A10 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{M.-J. Lu}, J. Franklin Inst. 336, No. 6, 955--972 (1999; Zbl 0965.65142) Full Text: DOI
Hwang, Chyi; Wu, Rong-Yuang; Lu, Ming-Jeng A technique for increasing the accuracy of the FFT-based method of numerical inversion of Laplace transforms. (English) Zbl 0792.65103 Comput. Math. Appl. 27, No. 7, 23-29 (1994). MSC: 65R10 65R30 44A10 PDFBibTeX XMLCite \textit{C. Hwang} et al., Comput. Math. Appl. 27, No. 7, 23--29 (1994; Zbl 0792.65103) 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 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, Int. J. Syst. Sci. 20, No. 7, 1131--1139 (1989; Zbl 0684.65110) Full Text: DOI
Paraskevopoulos, P. N. A new orthogonal series approach to state-space analysis and identification. (English) Zbl 0676.93030 Int. J. Syst. Sci. 20, No. 6, 957-970 (1989). MSC: 93B30 93C05 33C45 44A45 PDFBibTeX XMLCite \textit{P. N. Paraskevopoulos}, Int. J. Syst. Sci. 20, No. 6, 957--970 (1989; Zbl 0676.93030) 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 PDFBibTeX XMLCite \textit{B. M. Mohan} and \textit{K. B. Datta}, Int. J. Syst. Sci. 19, No. 9, 1843--1851 (1988; Zbl 0652.93029) 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
Razzaghi, M.; Razzaghi, M. Fourier series direct method for variational problems. (English) Zbl 0651.49012 Int. J. Control 48, No. 3, 887-895 (1988). MSC: 49M05 42A16 49K05 44A45 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, Int. J. Control 48, No. 3, 887--895 (1988; Zbl 0651.49012) Full Text: DOI
Chang, Rong-Yeu; Yang, Shwu-Yien; Wang, Maw-Ling Parameter identification of time-varying system via generalized orthogonal polynomials. (English) Zbl 0639.93017 Int. J. Syst. Sci. 19, No. 3, 471-485 (1988). MSC: 93B30 42C10 33C45 44A45 93C05 PDFBibTeX XMLCite \textit{R.-Y. Chang} et al., Int. J. Syst. Sci. 19, No. 3, 471--485 (1988; Zbl 0639.93017) Full Text: DOI
Yang, Ching-Yu; Chen, Cha’o-Kuang Analysis and optimal control of time-varying systems via polynomial series. (English) Zbl 0636.93054 Int. J. Syst. Sci. 19, No. 2, 289-310 (1988). MSC: 93C99 41A58 93C05 44A45 PDFBibTeX XMLCite \textit{C.-Y. Yang} and \textit{C.-K. Chen}, Int. J. Syst. Sci. 19, No. 2, 289--310 (1988; Zbl 0636.93054) 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 PDFBibTeX XMLCite \textit{C.-Y. Yang} and \textit{C.-K. Chen}, Int. J. Syst. Sci. 19, No. 1, 23--32 (1988; Zbl 0636.93038) Full Text: DOI
Tsay, Shuh-Chuan; Wu, I. Long; Lee, Tsu-Tian Optimal control of linear time-delay systems via general orthogonal polynomials. (English) Zbl 0636.93037 Int. J. Syst. Sci. 19, No. 2, 365-376 (1988). MSC: 93C05 34K35 42C10 33C45 44A45 41A21 PDFBibTeX XMLCite \textit{S.-C. Tsay} et al., Int. J. Syst. Sci. 19, No. 2, 365--376 (1988; Zbl 0636.93037) Full Text: DOI
Jiang, Z. H. New approximation method for inverse Laplace transforms using block-pulse functions. (English) Zbl 0646.65093 Int. J. Syst. Sci. 18, 1873-1888 (1987). Reviewer: E.Eitelberg MSC: 65R10 44A10 44A20 PDFBibTeX XMLCite \textit{Z. H. Jiang}, Int. J. Syst. Sci. 18, 1873--1888 (1987; Zbl 0646.65093) Full Text: DOI
Chen, Chieh-Li; Yang, Ching-Yu; Chen, Cha’o-Kuang Analysis and parameter identification of scaled systems via polynomial series. (English) Zbl 0628.93036 Int. J. Syst. Sci. 18, 2383-2394 (1987). MSC: 93C30 41A58 93B30 44A45 PDFBibTeX XMLCite \textit{C.-L. Chen} et al., Int. J. Syst. Sci. 18, 2383--2394 (1987; Zbl 0628.93036) 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
Liou, Ching-Tien; Chou, Yi-Shyong Operational matrices of piecewise linear polynomial functions with application to linear time-varying systems. (English) Zbl 0626.93041 Int. J. Syst. Sci. 18, 1931-1942 (1987). MSC: 93C99 44A45 93C05 65D07 PDFBibTeX XMLCite \textit{C.-T. Liou} and \textit{Y.-S. Chou}, Int. J. Syst. Sci. 18, 1931--1942 (1987; Zbl 0626.93041) Full Text: DOI
Liou, Ching-Tien; Chou, Yi-Shyong Piecewise linear polynomial functions and applications to analysis and parameter identification. (English) Zbl 0626.93027 Int. J. Syst. Sci. 18, 1919-1929 (1987). MSC: 93C05 44A45 93B30 65D07 PDFBibTeX XMLCite \textit{C.-T. Liou} and \textit{Y.-S. Chou}, Int. J. Syst. Sci. 18, 1919--1929 (1987; Zbl 0626.93027) Full Text: DOI
Chung, Hung-Yuan; Sun, York-Yih Analysis of time-delay systems using an alternative technique. (English) Zbl 0626.93025 Int. J. Control 46, 1621-1631 (1987). MSC: 93C05 34K35 41A58 44A45 PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, Int. J. Control 46, 1621--1631 (1987; Zbl 0626.93025) Full Text: DOI
Szczepaniak, P. S. Orthogonal series approach to the sensitivity analysis of linear systems. (English) Zbl 0626.93015 Int. J. Control 46, 1811-1818 (1987). MSC: 93B35 42C10 93C05 44A45 PDFBibTeX XMLCite \textit{P. S. Szczepaniak}, Int. J. Control 46, 1811--1818 (1987; Zbl 0626.93015) Full Text: DOI
Hwang, Chyi; Chen, Chyi-Tsong; Shih, Yen-Ping Parameter estimation of discrete systems via Hahn polynomials. (English) Zbl 0626.93011 Int. J. Control 46, 1605-1619 (1987). MSC: 93B30 33C45 93C55 44A55 93C05 PDFBibTeX XMLCite \textit{C. Hwang} et al., Int. J. Control 46, 1605--1619 (1987; Zbl 0626.93011) Full Text: DOI
Wang, Mawling; Chang, Rongyeu; Yang, Shwuien Generalization of generalized orthogonal polynomial operational matrices for fractional and operational calculus. (English) Zbl 0625.44003 Int. J. Syst. Sci. 18, 931-943 (1987). Reviewer: C.L.Koul MSC: 44A45 65R10 44A10 PDFBibTeX XMLCite \textit{M. Wang} et al., Int. J. Syst. Sci. 18, 931--943 (1987; Zbl 0625.44003) Full Text: DOI
Hwang, Chyi; Shyu, Kuo-Kai Analysis of time-varying discrete systems using discrete Legendre orthogonal polynomials. (English) Zbl 0624.93040 J. Franklin Inst. 324, 149-164 (1987). MSC: 93C55 44A55 33C45 93C05 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{K.-K. Shyu}, J. Franklin Inst. 324, 149--164 (1987; Zbl 0624.93040) Full Text: DOI
Sparis, Panagiotis D.; Mouroutsos, Spyridon G. Output sensitivity analysis of time-varying linear systems using polynomial series. (English) Zbl 0624.93022 J. Franklin Inst. 324, 173-185 (1987). MSC: 93B35 41A58 44A45 93C05 PDFBibTeX XMLCite \textit{P. D. Sparis} and \textit{S. G. Mouroutsos}, J. Franklin Inst. 324, 173--185 (1987; Zbl 0624.93022) Full Text: DOI
Wang, Maw-Ling; Jan, Yih-Jena; Chang, Rong-Yeu Analysis and parameter identification of time-delay linear systems via generalized orthogonal polynomials. (English) Zbl 0623.93033 Int. J. Syst. Sci. 18, 1645-1658 (1987). MSC: 93C05 42C10 93B30 33C45 34K35 44A45 93B40 PDFBibTeX XMLCite \textit{M.-L. Wang} et al., Int. J. Syst. Sci. 18, 1645--1658 (1987; Zbl 0623.93033) Full Text: DOI
Wang, Maw-Ling; Chang, Rong-Yeu; Yang, Shwu-Yien Identification of a single-variable linear time-varying system via generalized orthogonal polynomials. (English) Zbl 0623.93022 Int. J. Syst. Sci. 18, 1659-1671 (1987). MSC: 93B30 42C10 33C45 44A45 93C05 PDFBibTeX XMLCite \textit{M.-L. Wang} et al., Int. J. Syst. Sci. 18, 1659--1671 (1987; Zbl 0623.93022) 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
Hwang, Chyi; Shyu, Kuo-Kai Analysis and identification of discrete-time systems via discrete Legendre orthogonal polynomials. (English) Zbl 0622.93043 Int. J. Syst. Sci. 18, 1411-1423 (1987). MSC: 93C55 44A55 93B30 33C45 93C05 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{K.-K. Shyu}, Int. J. Syst. Sci. 18, 1411--1423 (1987; Zbl 0622.93043) 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 PDFBibTeX XMLCite \textit{S.-C. Tsay} and \textit{T.-T. Lee}, Int. J. Syst. Sci. 18, 1579--1594 (1987; Zbl 0622.93038) Full Text: DOI
Wang, Maw-Ling; Chang, Rong-Yeu; Yang, Shwu-Yien Analysis and parameter estimation of bilinear systems via generalized orthogonal polynomials. (English) Zbl 0616.93039 Int. J. Control 46, 719-729 (1987). MSC: 93C10 42C10 93B30 33C45 44A45 93C15 PDFBibTeX XMLCite \textit{M.-L. Wang} et al., Int. J. Control 46, 719--729 (1987; Zbl 0616.93039) Full Text: DOI
Yang, Ching-Yu; Chen, Cha’o-Kuang Analysis and parameter identification of time-delay systems via Taylor series. (English) Zbl 0616.93037 Int. J. Syst. Sci. 18, 1347-1353 (1987). MSC: 93C05 34K35 41A58 44A45 93B30 PDFBibTeX XMLCite \textit{C.-Y. Yang} and \textit{C.-K. Chen}, Int. J. Syst. Sci. 18, 1347--1353 (1987; Zbl 0616.93037) Full Text: DOI
Chen, Cha’o-Kuang; Yang, Ching-Yu Linear optimal control systems using reduced-order observers via polynomial series. (English) Zbl 0616.93036 Int. J. Syst. Sci. 18, 1355-1362 (1987). MSC: 93C05 42C10 93B05 33C45 44A45 PDFBibTeX XMLCite \textit{C.-K. Chen} and \textit{C.-Y. Yang}, Int. J. Syst. Sci. 18, 1355--1362 (1987; Zbl 0616.93036) Full Text: DOI
Chen, Cha’o-Kuang; Yang, Ching-Yu Analysis and parameter identification of time-delay systems via polynomial series. (English) Zbl 0615.93032 Int. J. Control 46, 111-127 (1987). MSC: 93C05 34K35 93B30 41A58 44A45 PDFBibTeX XMLCite \textit{C.-K. Chen} and \textit{C.-Y. Yang}, Int. J. Control 46, 111--127 (1987; Zbl 0615.93032) Full Text: DOI
Chung, Hung-Yuan Solution of state-space equations via Fourier series. (English) Zbl 0614.93027 Int. J. Syst. Sci. 18, 221-228 (1987). MSC: 93C05 42A16 44A45 93B40 PDFBibTeX XMLCite \textit{H.-Y. Chung}, Int. J. Syst. Sci. 18, 221--228 (1987; Zbl 0614.93027) Full Text: DOI
Chung, Hung-Yuan; Sun, York-Yih Fourier series analysis of linear optimal control systems incorporating observers. (English) Zbl 0614.93026 Int. J. Syst. Sci. 18, 213-220 (1987). MSC: 93C05 42A16 44A45 PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, Int. J. Syst. Sci. 18, 213--220 (1987; Zbl 0614.93026) Full Text: DOI
Liou, Ching-Tien; Chou, Yi-Shyong Optimal control of linear time-varying systems via piecewise-linear polynomial functions. (English) Zbl 0613.93039 Int. J. Control 45, 1323-1333 (1987). MSC: 93C99 44A45 93C05 65D07 PDFBibTeX XMLCite \textit{C.-T. Liou} and \textit{Y.-S. Chou}, Int. J. Control 45, 1323--1333 (1987; Zbl 0613.93039) 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 New approach for parameter identification via generalized orthogonal polynomials. (English) Zbl 0611.93019 Int. J. Syst. Sci. 18, 569-579 (1987). MSC: 93B30 34A55 42C10 33C45 44A45 93C05 93C15 PDFBibTeX XMLCite \textit{M.-L. Wang} et al., Int. J. Syst. Sci. 18, 569--579 (1987; Zbl 0611.93019) Full Text: DOI
Chao, Yung-Cheng; Chen, Cheng-Liang; Huang, Hsiao-Ping Recursive parameter estimation of transfer function matrix models via Simpson’s integrating rules. (English) Zbl 0611.93014 Int. J. Syst. Sci. 18, 901-911 (1987). MSC: 93B30 65D30 93C35 44A10 93B40 PDFBibTeX XMLCite \textit{Y.-C. Chao} et al., Int. J. Syst. Sci. 18, 901--911 (1987; Zbl 0611.93014) 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
Ranganathan, V.; Jha, A. N.; Rajamani, V. S. Identification of distributed linear time-varying systems via Laguerre polynomials. (English) Zbl 0609.93018 Int. J. Syst. Sci. 18, 681-685 (1987). MSC: 93B30 42C10 93C20 33C45 35R30 44A45 93B40 93C05 PDFBibTeX XMLCite \textit{V. Ranganathan} et al., Int. J. Syst. Sci. 18, 681--685 (1987; Zbl 0609.93018) Full Text: DOI
Lee, Tsu-Tian; Chang, Yih-Fong Analysis of time-varying delay systems via general orthogonal polynomials. (English) Zbl 0603.93034 Int. J. Control 45, 169-181 (1987). MSC: 93C99 33C45 34K35 42C10 44A45 93C05 PDFBibTeX XMLCite \textit{T.-T. Lee} and \textit{Y.-F. Chang}, Int. J. Control 45, 169--181 (1987; Zbl 0603.93034) Full Text: DOI
Chou, Jyh-Horng Application of Legendre series to the optimal control of integrodifferential equations. (English) Zbl 0603.93028 Int. J. Control 45, 269-277 (1987). MSC: 93C30 42C10 45J05 33C45 44A45 93C05 PDFBibTeX XMLCite \textit{J.-H. Chou}, Int. J. Control 45, 269--277 (1987; Zbl 0603.93028) Full Text: DOI
Chou, Jyh-Horng; Horng, Ing-Rong Identification of time-varying bilinear systems using Legendre series. (English) Zbl 0606.93025 J. Franklin Inst. 322, 353-359 (1986). MSC: 93B30 42C10 93C10 33C45 44A45 PDFBibTeX XMLCite \textit{J.-H. Chou} and \textit{I.-R. Horng}, J. Franklin Inst. 322, 353--359 (1986; Zbl 0606.93025) 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
Shih, Dong-Her; Wang, Lai-Fwu Optimal control of deterministic systems described by integrodifferential equations. (English) Zbl 0598.93034 Int. J. Control 44, 1737-1745 (1986). MSC: 93C30 45J05 44A45 33C45 42C10 PDFBibTeX XMLCite \textit{D.-H. Shih} and \textit{L.-F. Wang}, Int. J. Control 44, 1737--1745 (1986; Zbl 0598.93034) Full Text: DOI
Tsay, Yuh-Feng; Lee, Tsu-Tian Hermite polynomial analysis of linear optimal control systems. (English) Zbl 0598.93023 Int. J. Syst. Sci. 17, 1751-1756 (1986). MSC: 93C05 33C45 44A45 42C10 93B07 93C99 PDFBibTeX XMLCite \textit{Y.-F. Tsay} and \textit{T.-T. Lee}, Int. J. Syst. Sci. 17, 1751--1756 (1986; Zbl 0598.93023) Full Text: DOI
Chang, Rong-Yeu; Yang, Shwu-Yien; Wang, Maw-Ling A new approach for parameter identification of time-varying systems via generalized orthogonal polynomials. (English) Zbl 0598.93016 Int. J. Control 44, 1747-1755 (1986). MSC: 93B30 33C45 93C99 42C10 44A45 93C05 PDFBibTeX XMLCite \textit{R.-Y. Chang} et al., Int. J. Control 44, 1747--1755 (1986; Zbl 0598.93016) Full Text: DOI
Perng, Ming-Hwei An effective approach to the optimal-control problem for time-varying linear systems via Taylor series. (English) Zbl 0595.93041 Int. J. Control 44, 1225-1231 (1986). MSC: 93C99 41A58 93C05 44A45 PDFBibTeX XMLCite \textit{M.-H. Perng}, Int. J. Control 44, 1225--1231 (1986; Zbl 0595.93041) Full Text: DOI
Sparis, Panagiotis D.; Mouroutsos, Spyridon G. The operational matrix of differentiation for orthogonal polynomial series. (English) Zbl 0595.44007 Int. J. Control 44, 1-15 (1986). MSC: 44A45 65L05 34A25 PDFBibTeX XMLCite \textit{P. D. Sparis} and \textit{S. G. Mouroutsos}, Int. J. Control 44, 1--15 (1986; Zbl 0595.44007) Full Text: DOI
Wang, Chi-Hsu; Marleau, Richard S. Application of generalized block-pulse operational matrices for the approximation of continuous-time systems. (English) Zbl 0594.93047 Int. J. Syst. Sci. 17, 1269-1278 (1986). MSC: 93C99 42C10 44A45 33C45 PDFBibTeX XMLCite \textit{C.-H. Wang} and \textit{R. S. Marleau}, Int. J. Syst. Sci. 17, 1269--1278 (1986; Zbl 0594.93047) Full Text: DOI
Wang, Maw-Ling; Chang, Rong-Yeu; Yang, Shwu-Yien Analysis and optimal control of time-varying systems via generalized orthogonal polynomials. (English) Zbl 0594.93045 Int. J. Control 44, 895-910 (1986). MSC: 93C99 42C10 93C05 33C45 44A45 PDFBibTeX XMLCite \textit{M.-L. Wang} et al., Int. J. Control 44, 895--910 (1986; Zbl 0594.93045) 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
Horng, Ing-Rong; Chou, Jyh-Horng Analysis and parameter identification of time-delay systems via shifted Jacobi polynomials. (English) Zbl 0594.93021 Int. J. Control 44, 935-942 (1986). MSC: 93B30 34K05 42C10 33C45 44A45 93C05 PDFBibTeX XMLCite \textit{I.-R. Horng} and \textit{J.-H. Chou}, Int. J. Control 44, 935--942 (1986; Zbl 0594.93021) Full Text: DOI
Hwang, Chyi; Chen, Muh-yang Analysis of time-delay systems using the Galerkin method. (English) Zbl 0593.93033 Int. J. Control 44, 847-866 (1986). MSC: 93C99 34K35 65L60 33C45 42C10 44A45 93C05 93B40 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{M.-y. Chen}, Int. J. Control 44, 847--866 (1986; Zbl 0593.93033) Full Text: DOI
Hwang, Chyi; Shih, Dong-Her; Kung, Fan-Chu Use of block-pulse functions in the optimal control of deterministic systems. (English) Zbl 0593.93029 Int. J. Control 44, 343-349 (1986). MSC: 93C30 42C10 93B50 33C45 44A45 45J05 93C05 PDFBibTeX XMLCite \textit{C. Hwang} et al., Int. J. Control 44, 343--349 (1986; Zbl 0593.93029) Full Text: DOI
Hwang, Chyi; Chen, Muh-Yang Analysis and parameter identification of bilinear systems via shifted Legendre polynomials. (English) Zbl 0593.93015 Int. J. Control 44, 351-362 (1986). MSC: 93B30 93C10 93C99 33C45 42C10 44A45 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{M.-Y. Chen}, Int. J. Control 44, 351--362 (1986; Zbl 0593.93015) Full Text: DOI
Chang, Yih-Fong; Lee, Tsu-Tian Application of general orthogonal polynomials to the optimal control of time-varying linear systems. (English) Zbl 0592.93027 Int. J. Control 43, 1283-1304 (1986). MSC: 93C05 42C10 93C99 33C45 44A45 PDFBibTeX XMLCite \textit{Y.-F. Chang} and \textit{T.-T. Lee}, Int. J. Control 43, 1283--1304 (1986; Zbl 0592.93027) Full Text: DOI
Perng, Ming-Hwei Laguerre polynomial analysis in optimal control systems incorporating observers. (English) Zbl 0589.93027 Int. J. Control 44, 43-48 (1986). MSC: 93C05 42C10 44A45 33C45 93C99 PDFBibTeX XMLCite \textit{M.-H. Perng}, Int. J. Control 44, 43--48 (1986; Zbl 0589.93027) 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 PDFBibTeX XMLCite \textit{J.-h. Chou} and \textit{I.-r. Horng}, Int. J. Syst. Sci. 17, 735--739 (1986; Zbl 0588.44002) Full Text: DOI
Chang, Yih-fong; Lee, Tsu-tian General orthogonal polynomials approximation of the linear-quadratic-Gaussian control design. (English) Zbl 0586.93069 Int. J. Control 43, 1879-1895 (1986). MSC: 93E20 42C10 44A45 33C45 60G15 93C05 PDFBibTeX XMLCite \textit{Y.-f. Chang} and \textit{T.-t. Lee}, Int. J. Control 43, 1879--1895 (1986; Zbl 0586.93069) Full Text: DOI
Hwang, Chyi; Chen, Muh-yang A direct approach using the shifted Legendre series expansion for near optimum control of linear time-varying systems with multiple state and control delays. (English) Zbl 0586.93048 Int. J. Control 43, 1673-1692 (1986). MSC: 93C99 42C10 44A45 33C45 93B40 93C05 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{M.-y. Chen}, Int. J. Control 43, 1673--1692 (1986; Zbl 0586.93048) Full Text: DOI
Chang, Rong-yeu; Yang, Shwu-yien Solution of two-point-boundary-value problems by generalized orthogonal polynomials and application to optimal control of lumped and distributed parameter systems. (English) Zbl 0586.93034 Int. J. Control 43, 1785-1802 (1986). MSC: 93C15 34B05 42C10 33C45 44A45 93B40 93C05 93C20 PDFBibTeX XMLCite \textit{R.-y. Chang} and \textit{S.-y. Yang}, Int. J. Control 43, 1785--1802 (1986; Zbl 0586.93034) 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 PDFBibTeX XMLCite \textit{Y.-p. Shih} and \textit{C.-C. Liu}, Int. J. Syst. Sci. 17, 849--858 (1986; Zbl 0586.93012) Full Text: DOI
Lee, Tsu-Tian; Tsay, Shuh-Chuan; Horng, Ing-Rong Shifted-Jacobi series analysis of linear optimal control systems incorporating observers. (English) Zbl 0585.93027 J. Franklin Inst. 321, 289-298 (1986). MSC: 93C05 42C10 44A45 33C45 93C99 PDFBibTeX XMLCite \textit{T.-T. Lee} et al., J. Franklin Inst. 321, 289--298 (1986; Zbl 0585.93027) Full Text: DOI
Mouroutsos, Spyridon G.; Sparis, Panagiotis D. Parameter identification of a class of time-varying linear systems via polynomial series. (English) Zbl 0585.93011 Int. J. Syst. Sci. 17, 969-981 (1986). MSC: 93B30 42C10 93C99 33C45 44A45 93C05 PDFBibTeX XMLCite \textit{S. G. Mouroutsos} and \textit{P. D. Sparis}, Int. J. Syst. Sci. 17, 969--981 (1986; Zbl 0585.93011) Full Text: DOI
Shih, Dong-Her; Kung, Fan-Chu; Chao, Chien-Ming Laguerre series approach to the analysis of a linear control system incorporating observers. (English) Zbl 0584.93029 Int. J. Control 43, 123-128 (1986). MSC: 93C05 42C10 93C99 33C45 44A45 PDFBibTeX XMLCite \textit{D.-H. Shih} et al., Int. J. Control 43, 123--128 (1986; Zbl 0584.93029) Full Text: DOI
Shih, Dong-Her; Kung, Fan-Chu Analysis and parameter estimation of a scaled system via shifted Legendre polynomials. (English) Zbl 0583.93023 Int. J. Syst. Sci. 17, 401-408 (1986). MSC: 93C05 42C10 93B30 33C45 44A45 93B40 PDFBibTeX XMLCite \textit{D.-H. Shih} and \textit{F.-C. Kung}, Int. J. Syst. Sci. 17, 401--408 (1986; Zbl 0583.93023) 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 PDFBibTeX XMLCite \textit{J.-H. Chou} and \textit{I.-R. Horng}, Int. J. Syst. Sci. 17, 459--464 (1986; Zbl 0583.93010) Full Text: DOI
Lee, Tsu-tian; Tsay, Yuh-feng Application of general discrete orthogonal polynomials to optimal-control systems. (English) Zbl 0581.93047 Int. J. Control 43, 1375-1386 (1986). MSC: 93C55 33C45 44A55 93C05 PDFBibTeX XMLCite \textit{T.-t. Lee} and \textit{Y.-f. Tsay}, Int. J. Control 43, 1375--1386 (1986; Zbl 0581.93047) 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 PDFBibTeX XMLCite \textit{I.-r. Horng} et al., Int. J. Syst. Sci. 17, 679--685 (1986; Zbl 0581.93027) Full Text: DOI
Hwang, Chyi; Chen, Muh-yang Suboptimal control of linear time-varying multi-delay systems via shifted Legendre polynomials. (English) Zbl 0587.93042 Int. J. Syst. Sci. 16, 1517-1537 (1985). MSC: 93C99 33C45 93C05 34K35 42C10 44A45 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{M.-y. Chen}, Int. J. Syst. Sci. 16, 1517--1537 (1985; Zbl 0587.93042) Full Text: DOI
Shih, Dong-Her; Kung, Fan-chu The shifted Legendre approach to nonlinear system analysis and identification. (English) Zbl 0587.93032 Int. J. Control 42, 1399-1410 (1985). MSC: 93C10 42C10 44A45 33C45 93B30 93B40 PDFBibTeX XMLCite \textit{D.-H. Shih} and \textit{F.-c. Kung}, Int. J. Control 42, 1399--1410 (1985; Zbl 0587.93032) Full Text: DOI
Sparis, Panagiotis D.; Mouroutsos, Spyridon G. A comparative study of the operational matrices of integration and differentiation for orthogonal polynomial series. (English) Zbl 0586.93025 Int. J. Control 42, 621-638 (1985). MSC: 93C05 42C10 44A45 93C15 33C45 93C99 PDFBibTeX XMLCite \textit{P. D. Sparis} and \textit{S. G. Mouroutsos}, Int. J. Control 42, 621--638 (1985; Zbl 0586.93025) Full Text: DOI
Chang, Rong-yeu; Chen, Kun-chou; Wang, Maw-ling A new approach to the parameter estimation of linear time-invariant delayed systems via modified Laguerre polynomials. (English) Zbl 0586.93008 Int. J. Syst. Sci. 16, 1505-1515 (1985). MSC: 93B30 33C45 93C05 34K35 42C10 44A45 93B40 93C99 PDFBibTeX XMLCite \textit{R.-y. Chang} et al., Int. J. Syst. Sci. 16, 1505--1515 (1985; Zbl 0586.93008) 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
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 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Y. Shih}, Int. J. Syst. Sci. 16, 753--759 (1985; Zbl 0568.93029) 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 PDFBibTeX XMLCite \textit{J. Chou} and \textit{I. Horng}, Int. J. Syst. Sci. 16, 1157--1162 (1985; Zbl 0568.93027) Full Text: DOI
Jha, A. N.; Zaman, S. Identification of linear distributed systems using Laguerre operational matrices. (English) Zbl 0568.93018 Int. J. Syst. Sci. 16, 761-767 (1985). MSC: 93B30 42C10 93C20 33C45 93C05 44A45 PDFBibTeX XMLCite \textit{A. N. Jha} and \textit{S. Zaman}, Int. J. Syst. Sci. 16, 761--767 (1985; Zbl 0568.93018) Full Text: DOI
Zaman, S.; Jha, A. N. Parameter identification of non-linear systems using Laguerre operational matrices. (English) Zbl 0567.93025 Int. J. Syst. Sci. 16, 625-631 (1985). MSC: 93B30 42C10 93C10 33C45 44A45 93B40 PDFBibTeX XMLCite \textit{S. Zaman} and \textit{A. N. Jha}, Int. J. Syst. Sci. 16, 625--631 (1985; Zbl 0567.93025) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Double-shifted Chebyshev series for convolution integral and integral equations. (English) Zbl 0566.93029 Int. J. Control 42, 225-232 (1985). MSC: 93C30 42C10 44A45 33C45 45B05 45D05 93B40 PDFBibTeX XMLCite \textit{J. Chou} and \textit{I. Horng}, Int. J. Control 42, 225--232 (1985; Zbl 0566.93029) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems. (English) Zbl 0566.93028 Int. J. Control 42, 233-241 (1985). MSC: 93C20 42C10 44A45 33C45 35K05 93B40 93C05 PDFBibTeX XMLCite \textit{J. Chou} and \textit{I. Horng}, Int. J. Control 42, 233--241 (1985; Zbl 0566.93028) Full Text: DOI
Liu, Chengchiian; Shih, Yenping System analysis, parameter estimation and optimal regulator design of linear systems via Jacobi series. (English) Zbl 0566.93021 Int. J. Control 42, 211-224 (1985). MSC: 93C05 42C10 44A45 33C45 93B30 93B40 93C99 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Y. Shih}, Int. J. Control 42, 211--224 (1985; Zbl 0566.93021) 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
Mouroutsos, S. G.; Sparis, P. D. Taylor series approach to system identification, analysis and optimal control. (English) Zbl 0561.93018 J. Franklin Inst. 319, 359-371 (1985). MSC: 93B30 41A58 44A45 93C05 93B40 PDFBibTeX XMLCite \textit{S. G. Mouroutsos} and \textit{P. D. Sparis}, J. Franklin Inst. 319, 359--371 (1985; Zbl 0561.93018) 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 PDFBibTeX XMLCite \textit{P. N. Paraskevopoulos} et al., Int. J. Syst. Sci. 16, 171--176 (1985; Zbl 0558.44004) Full Text: DOI
Chou, Jyhhorng; Horng, Ingrong Application of Chebyshev polynomials to the optimal control of time- varying linear systems. (English) Zbl 0555.93024 Int. J. Control 41, 135-144 (1985). MSC: 93C05 33C45 93C99 44A45 93C15 PDFBibTeX XMLCite \textit{J. Chou} and \textit{I. Horng}, Int. J. Control 41, 135--144 (1985; Zbl 0555.93024) Full Text: DOI
Horng, Ingrong; Chou, Jyhhorng The design of optimal observers via shifted Chebyshev polynomials. (English) Zbl 0555.93017 Int. J. Control 41, 549-556 (1985). MSC: 93B50 42C10 93C05 33C45 44A45 93C99 PDFBibTeX XMLCite \textit{I. Horng} and \textit{J. Chou}, Int. J. Control 41, 549--556 (1985; Zbl 0555.93017) 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, C.; Shih, Y. P. Optimal control of delay systems via block pulse functions. (English) Zbl 0541.93031 J. Optimization Theory Appl. 45, 101-112 (1985). MSC: 93C05 34K35 42C10 33C45 93C15 44A45 PDFBibTeX XMLCite \textit{C. Hwang} and \textit{Y. P. Shih}, J. Optim. Theory Appl. 45, 101--112 (1985; Zbl 0541.93031) Full Text: DOI
Marszałek, W. Block-pulse functions method of the inverse Laplace transform for irrational and transcendental transfer functions. (English) Zbl 0554.44002 J. Franklin Inst. 318, 193-200 (1984). Reviewer: R.S.Dahiya MSC: 44A10 44A20 PDFBibTeX XMLCite \textit{W. Marszałek}, J. Franklin Inst. 318, 193--200 (1984; Zbl 0554.44002) Full Text: DOI
Paraskevopoulos, P. N.; Kekkeris, G. Th. Output sensitivity analysis using orthogonal functions. (English) Zbl 0551.93018 Int. J. Control 40, 763-772 (1984). Reviewer: J.Gayek MSC: 93B35 93C05 93C99 42C15 44A45 PDFBibTeX XMLCite \textit{P. N. Paraskevopoulos} and \textit{G. Th. Kekkeris}, Int. J. Control 40, 763--772 (1984; Zbl 0551.93018) 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
Liu, Chengchiian; Shih, Yenping Analysis and parameter estimation of bilinear systems via Chebyshev polynomials. (English) Zbl 0538.93030 J. Franklin Inst. 317, 373-382 (1984). MSC: 93C10 33C45 93C99 42C10 44A45 93B30 PDFBibTeX XMLCite \textit{C. Liu} and \textit{Y. Shih}, J. Franklin Inst. 317, 373--382 (1984; Zbl 0538.93030) 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 PDFBibTeX XMLCite \textit{R. Hwang} and \textit{Y. Shih}, Int. J. Syst. Sci. 15, 301--308 (1984; Zbl 0529.93044) Full Text: DOI