Sun, Zhongbo; Shi, Tian; Jin, Long; Zhang, Bangcheng; Pang, Zaixiang; Yu, Junzhi Discrete-time zeroing neural network of \(O(\tau^4)\) pattern for online solving time-varying nonlinear optimization problem: application to manipulator motion generation. (English) Zbl 1471.93169 J. Franklin Inst. 358, No. 14, 7203-7220 (2021). MSC: 93C55 93C15 41A58 93B70 PDFBibTeX XMLCite \textit{Z. Sun} et al., J. Franklin Inst. 358, No. 14, 7203--7220 (2021; Zbl 1471.93169) Full Text: DOI
Kurt, Nurcan; Sezer, Mehmet Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients. (English) Zbl 1202.65172 J. Franklin Inst. 345, No. 8, 839-850 (2008). MSC: 65R20 45J05 45A05 PDFBibTeX XMLCite \textit{N. Kurt} and \textit{M. Sezer}, J. Franklin Inst. 345, No. 8, 839--850 (2008; Zbl 1202.65172) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet Approximations to the solution of linear Fredholm integro-differential-difference equation of high order. (English) Zbl 1113.65122 J. Franklin Inst. 343, No. 7, 720-737 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45L05 45J05 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, J. Franklin Inst. 343, No. 7, 720--737 (2006; Zbl 1113.65122) Full Text: DOI
Jacobsohn, Guy A discrete Taylor series method for the solution of two-point boundary-value problems. (English) Zbl 0991.93037 J. Franklin Inst. 338, No. 1, 61-68 (2001). MSC: 93B40 65L10 PDFBibTeX XMLCite \textit{G. Jacobsohn}, J. Franklin Inst. 338, No. 1, 61--68 (2001; Zbl 0991.93037) Full Text: DOI
Lucas, T. N. Optimal model reduction by multipoint Padé approximation. (English) Zbl 0812.93020 J. Franklin Inst. 330, No. 1, 79-93 (1993). MSC: 93B11 41A21 93C05 93A30 93C80 PDFBibTeX XMLCite \textit{T. N. Lucas}, J. Franklin Inst. 330, No. 1, 79--93 (1993; Zbl 0812.93020) Full Text: DOI
Ibrahim, E. Y.; Lovass-Nagy, V.; Mukundan, R.; Powers, D. L.; Schilling, R. J. A note on optimal control of linear time-delay systems using descriptor- variable theory. (English) Zbl 0736.93051 J. Franklin Inst. 327, No. 6, 893-901 (1990). Reviewer: S.Zlobec (Montreal) MSC: 93C99 93C05 49J15 PDFBibTeX XMLCite \textit{E. Y. Ibrahim} et al., J. Franklin Inst. 327, No. 6, 893--901 (1990; Zbl 0736.93051) Full Text: DOI
Razzaghi, Mohsen; Razzaghi, Mehdi Solution of linear two-point boundary value problems via Taylor series. (English) Zbl 0702.34022 J. Franklin Inst. 326, No. 4, 511-521 (1989). Reviewer: Michael Sever (Jerusalem) MSC: 34B10 34B05 34A05 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, J. Franklin Inst. 326, No. 4, 511--521 (1989; Zbl 0702.34022) Full Text: DOI
Razzaghi, Mohsen; Razzaghi, Mehdi Instabilities in the solution of a heat conduction problem using Taylor series and alternative approaches. (English) Zbl 0684.34012 J. Franklin Inst. 326, No. 5, 683-690 (1989). MSC: 34A45 42C05 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, J. Franklin Inst. 326, No. 5, 683--690 (1989; Zbl 0684.34012) Full Text: DOI
Bartos, Josef; Sun, Hun H. Characterization of abrupt nonlinearity by the Volterra-Fourier method. (English) Zbl 0651.93019 J. Franklin Inst. 325, No. 4, 465-484 (1988). MSC: 93B30 41A58 42A20 93C10 PDFBibTeX XMLCite \textit{J. Bartos} and \textit{H. H. Sun}, J. Franklin Inst. 325, No. 4, 465--484 (1988; Zbl 0651.93019) Full Text: DOI
Razzaghi, Mohsen; Razzaghi, Mehdi Taylor series direct method for variational problems. (English) Zbl 0627.49017 J. Franklin Inst. 325, No. 1, 125-131 (1988). MSC: 49M15 41A58 44A45 49K15 PDFBibTeX XMLCite \textit{M. Razzaghi} and \textit{M. Razzaghi}, J. Franklin Inst. 325, No. 1, 125--131 (1988; Zbl 0627.49017) Full Text: DOI
Christodoulou, M. A.; Vachtsevanos, G.; Mertzios, B. G. An algorithm for the realization of generalized linear systems via Taylor series expansion about an arbitrary point “a”. (English) Zbl 0625.93014 J. Franklin Inst. 324, 237-244 (1987). MSC: 93B20 93B40 93C05 34A99 39A12 41A58 93B15 93C55 PDFBibTeX XMLCite \textit{M. A. Christodoulou} et al., J. Franklin Inst. 324, 237--244 (1987; Zbl 0625.93014) Full Text: DOI
Chung, Hung-Yuan; Sun, York-Yih Taylor series analysis of multi-delay systems. (English) Zbl 0624.93033 J. Franklin Inst. 324, 65-72 (1987). MSC: 93C30 34K35 41A58 44A45 93C05 PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, J. Franklin Inst. 324, 65--72 (1987; Zbl 0624.93033) 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
Sattar, M. A. An asymptotic method for second-order critically damped nonliner equations. (English) Zbl 0593.34037 J. Franklin Inst. 321, 109-113 (1986). Reviewer: P.Marusciak MSC: 34C10 34A34 PDFBibTeX XMLCite \textit{M. A. Sattar}, J. Franklin Inst. 321, 109--113 (1986; Zbl 0593.34037) 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
Ku, Y. H. Theory of nonlinear systems. (English) Zbl 0514.93038 J. Franklin Inst. 315, 1-26 (1983). MSC: 93C10 41A58 34A34 93B30 93E12 34A45 44A15 45D05 93C15 94C05 PDFBibTeX XMLCite \textit{Y. H. Ku}, J. Franklin Inst. 315, 1--26 (1983; Zbl 0514.93038) Full Text: DOI Link
Yano, H.; Kitahara, N. An interpolation based on Cauchy’s integral representation. (English) Zbl 0461.41003 J. Franklin Inst. 311, 323-330 (1981). MSC: 41A05 41A58 PDFBibTeX XMLCite \textit{H. Yano} and \textit{N. Kitahara}, J. Franklin Inst. 311, 323--330 (1981; Zbl 0461.41003) Full Text: DOI