DocumentCode
11979
Title
Finite-time boundedness and stabilisation for a class of non-linear quadratic time-delay systems with disturbances
Author
Fu Chen ; Shengyuan Xu ; Yun Zou ; Minsong Zhang
Author_Institution
Authors are with the Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
Volume
7
Issue
13
fYear
2013
fDate
September 5 2013
Firstpage
1683
Lastpage
1688
Abstract
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.
Keywords
Lyapunov methods; delays; linear matrix inequalities; nonlinear control systems; stability; FTB; Razumikhin-type techniques; exogenous disturbances; finite-time boundedness; linear matrix inequalities; nonlinear quadratic time-delay systems; quadratic Lyapunov function; quadratic stabilisation; sufficient conditions;
fLanguage
English
Journal_Title
Control Theory & Applications, IET
Publisher
iet
ISSN
1751-8644
Type
jour
DOI
10.1049/iet-cta.2012.0631
Filename
6601037
Link To Document