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A new method to obtain ultimate bounds and convergence rates for perturbed time‐delay systems
Author(s) -
Quan Quan,
Cai KaiYuan
Publication year - 2011
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.1793
Subject(s) - convergence (economics) , rate of convergence , control theory (sociology) , computer science , mathematics , mathematical optimization , control (management) , telecommunications , artificial intelligence , economics , channel (broadcasting) , economic growth
SUMMARY A new method is proposed to determine the ultimate bounds and the convergence rates for perturbed time‐delay systems when the Lyapunov–Krasovskii functionals and their derivatives are available. Compared with existing methods, the proposed method is more concise, more widely applicable, and the obtained results are less conservative. To show the three features, the proposed method is applied to improve three existing results, respectively. Copyright © 2011 John Wiley & Sons, Ltd.