摘要
In this technical note,we present a new stability analysis procedure for ascertaining the delay-dependent stability of a class of Lurie systems with time-varying delay and sector-bounded nonlinearity using Lyapunov-Krasovskii (LK) functional approach.The proposed analysis,owing to the candidate LK functional and tighter bounding of its time-derivative,yields less conservative absolute and robust stability criteria for nominal and uncertain systems respectively.The effectiveness of the proposed criteria over some of the recently reported results is demonstrated using a numerical example.
In this technical note,we present a new stability analysis procedure for ascertaining the delay-dependent stability of a class of Lurie systems with time-varying delay and sector-bounded nonlinearity using Lyapunov-Krasovskii (LK) functional approach.The proposed analysis,owing to the candidate LK functional and tighter bounding of its time-derivative,yields less conservative absolute and robust stability criteria for nominal and uncertain systems respectively.The effectiveness of the proposed criteria over some of the recently reported results is demonstrated using a numerical example.
出处
《自动化学报》
EI
CSCD
北大核心
2011年第5期639-644,共6页
Acta Automatica Sinica
关键词
自动化
线性系统
LK
自动控制
Lurie systems
absolute stability
robust stability
Lyapunov-Krasovskii functional
linear matrix inequality