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Boundedness in Lurie system with stiffening nonlinearities
Author(s) -
Ben Abdallah Abdallah,
Hammami Mohamed Ali
Publication year - 2008
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.1241
Subject(s) - stiffening , nonlinear system , control theory (sociology) , mathematics , property (philosophy) , stability (learning theory) , block (permutation group theory) , minimum phase , zero (linguistics) , phase (matter) , computer science , control (management) , engineering , geometry , structural engineering , physics , philosophy , epistemology , quantum mechanics , artificial intelligence , machine learning , linguistics
In this paper, we deal with the problem of boundedness of solutions in single‐input single‐output Lurie system. We prove the boundedness of solutions from the stability of zero dynamics under a restriction on the nonlinearity. The linear block is supposed to be of relative degree one or two, stabilizable by high‐gain output feedback and not necessary minimum phase. The nonlinearity is required to have the stiffening property. Copyright © 2007 John Wiley & Sons, Ltd.