Open AccessFinite‐time boundedness and stabilisation for a class of non‐linear quadratic time‐delay systems with disturbances
Author(s) -
Chen Fu,
Xu Shengyuan,
Zou Yun,
Zhang Minsong
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2012.0631
Subject(s) - control theory (sociology) , class (philosophy) , quadratic equation , mathematics , time complexity , linear system , computer science , algorithm , control (management) , mathematical analysis , artificial intelligence , geometry
The problems of finite‐time boundedness (FTB) and stabilisation for a class of non‐linear quadratic time‐delay systems with exogenous disturbances are investigated in this study. Based on the quadratic Lyapunov function, Razumikhin‐type techniques, and a particular presentation for the quadratic terms, sufficient conditions for FTB and stabilisation for quadratic systems with exogenous disturbances are derived in terms of linear matrix inequalities. Simulation examples are given to verify the effectiveness of the methodology proposed in this study.