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Analysis of time‐delay systems by series approximation
Author(s) -
Mutharasan Rajakkannu,
Luus Rein
Publication year - 1975
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690210320
Subject(s) - taylor series , series (stratigraphy) , stability (learning theory) , simple (philosophy) , mathematics , state (computer science) , control theory (sociology) , computer science , mathematical analysis , algorithm , geology , control (management) , epistemology , machine learning , artificial intelligence , paleontology , philosophy
A new method of analyzing the behavior of dynamic systems containing time delays is presented. The method, which is based on the construction of a subsidiary system where the delayed state variables are approximated by Taylor series expansion, is simple and easy to apply. The stability and the region of stability of the subsidiary equation correspond closely to that of the original system.