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Stability of time‐delay systems
Author(s) -
Landis J. G.,
Perlmutter D. D.
Publication year - 1972
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.690180221
Subject(s) - stability (learning theory) , nonlinear system , class (philosophy) , mathematics , control theory (sociology) , differential (mechanical device) , differential equation , mathematical analysis , computer science , physics , thermodynamics , control (management) , quantum mechanics , artificial intelligence , machine learning
A direct method is presented for determining both local and regional stability of systems described by nonlinear differential‐difference equations. Prediction of stability is with respect to a general class of initial curves. The practical as well as the conservative nature of the procedure is demonstrated by a numerical example.