The limitations of the Taylor series approximations of the delayed variables have been documented by means of examples in several works. This note unifies these previous comments through a higher-level analysis of the issue. It is shown that the use of the truncated Taylor series expansion of the (inverse) advance operator does not feature the same drawbacks.
Further Comments on Taylor Series Expansion of the Delay/Advance Operator
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 3, 2015; final manuscript received October 13, 2016; published online December 5, 2016. Assoc. Editor: Firdaus Udwadia.
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García-Ramírez, E., Peñaloza-Mejía, O., and Moog, C. H. (December 5, 2016). "Further Comments on Taylor Series Expansion of the Delay/Advance Operator." ASME. J. Comput. Nonlinear Dynam. May 2017; 12(3): 034501. https://doi.org/10.1115/1.4035058
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