Premium
Improved delay‐range‐dependent stability analysis for uncertain retarded systems based on affine Wirtinger‐inequality
Author(s) -
Dey Rajeeb,
Martinez Garcia Juan Carlos
Publication year - 2017
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.3723
Subject(s) - affine transformation , control theory (sociology) , stability (learning theory) , nonlinear system , mathematics , range (aeronautics) , upper and lower bounds , inequality , computer science , engineering , control (management) , mathematical analysis , artificial intelligence , pure mathematics , physics , quantum mechanics , machine learning , aerospace engineering
Summary This note considers the problem of deriving sufficient delay‐range‐dependent stability (DRDS) condition for a general class of uncertain (or nonlinear) retarded system. The stability result is developed by proposing appropriate Lyapunov–Krasovskii functional to effectively utilize the merit of recently proposed affine Wirtinger inequality. The delay upper bound results obtained by the developed condition are found to be less conservative compared with recent results for both nominal and uncertain systems. Copyright © 2017 John Wiley & Sons, Ltd.