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). The Taylor delayed operational matrix is first developed. With the introduction of the Taylor product matrix, the Taylor series approximation can be extended to the analysis of time-varying systems. The method is better than the using Walsh series, as demonstrated by numerical examples. The result is quite satisfactory. Cited in 8 Documents MSC: 93C05 Linear systems in control theory 34K35 Control problems for functional-differential equations 41A58 Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) 44A45 Classical operational calculus Keywords:Taylor delayed operational matrix; Taylor series approximation; time-invariant PDFBibTeX XMLCite \textit{H.-Y. Chung} and \textit{Y.-Y. Sun}, Int. J. Control 46, 1621--1631 (1987; Zbl 0626.93025) Full Text: DOI References: [1] DOI: 10.1080/00207728508926770 · Zbl 0586.93008 · doi:10.1080/00207728508926770 [2] DOI: 10.1109/TAC.1978.1101888 · Zbl 0388.93029 · doi:10.1109/TAC.1978.1101888 [3] DOI: 10.1080/0020718508961193 · Zbl 0562.93034 · doi:10.1080/0020718508961193 [4] DOI: 10.1080/0020718508961135 · Zbl 0555.93014 · doi:10.1080/0020718508961135 [5] DOI: 10.1016/0016-0032(85)90056-0 · Zbl 0561.93018 · doi:10.1016/0016-0032(85)90056-0 [6] SHIH Y. P., Trans. Aeronaut. Astronaut. Soc 10 pp 80– (1977) [7] DOI: 10.1115/1.3139626 · Zbl 0446.93051 · doi:10.1115/1.3139626 [8] DOI: 10.1080/00207177508921968 · Zbl 0314.34073 · doi:10.1080/00207177508921968 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.