Premium
Stability of discrete‐time systems with time‐varying delay via a novel Lyapunov‐Krasovskii functional
Author(s) -
Chen Jun,
Park Ju H.,
Xu Shengyuan,
Zhang XianMing
Publication year - 2020
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.5009
Subject(s) - stability (learning theory) , control theory (sociology) , functional approach , mathematics , state (computer science) , stability criterion , computer science , stability conditions , discrete time and continuous time , control (management) , algorithm , artificial intelligence , machine learning , statistics , human–computer interaction
Summary This article is concerned with the problem of stability analysis of discrete‐time systems with time‐varying delay. Unlike previous articles concentrating on the improvement of summation inequalities, this article constructs a novel augmented Lyapunov‐Krasovskii (L‐K) functional by fully considering the coupling information among state‐related vectors. Based on the newly developed L‐K functional, a more relaxed stability criterion is derived by exploring the interest of existing inequalities. Three numerical examples are given to demonstrate the effectiveness of the proposed method.