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Exponential stability of slowly varying discrete systems with multiple state delays
Author(s) -
Medina Rigoberto
Publication year - 2012
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2835
Subject(s) - exponential stability , stability (learning theory) , exponential function , control theory (sociology) , mathematics , class (philosophy) , exponential growth , state (computer science) , mathematical analysis , computer science , physics , nonlinear system , control (management) , algorithm , machine learning , quantum mechanics , artificial intelligence
SUMMARY We give sufficient conditions for the exponential stability of a class of perturbed time‐varying difference equations with multiple delays and slowly varying coefficients. Under appropriate growth conditions on the perturbations, combined with the ‘freezing’ technique, we establish explicit conditions for global exponential stability. Copyright © 2012 John Wiley & Sons, Ltd.