Title :
Improvements on delayed-dependent stability criteria for linear delayed systems
Author :
Shao, Hanyong ; Shi, Xuewen ; Wang, Huajian
Author_Institution :
Sch. of Electr. & Inf. Autom., Qufu Normal Univ., Rizhao
Abstract :
A new delay-dependent criterion is derived for delayed systems in terms of linear matrix inequalities. Different from previous ones, the criterion involves no slack variables. It is established theoretically that some existing criteria, which have introduced many slack variables, are equivalent to each other, and can be simplified to this one. Finally it is extended to time-varying delay type and robust stability condition is given for delayed systems with norm-bounded uncertainties.
Keywords :
delay systems; linear matrix inequalities; linear systems; robust control; stability criteria; uncertain systems; delayed-dependent stability criteria; linear delayed systems; linear matrix inequalities; norm-bounded uncertainties; robust stability condition; time-varying delay type; Automation; Delay lines; Delay systems; Linear matrix inequalities; Stability analysis; Stability criteria; Symmetric matrices; Transmission line matrix methods; Uncertain systems; Uncertainty; Lyapunov-Krasovskii functional; delayed systems; linear matrix inequality (LMI); uncertain systems;
Conference_Titel :
Intelligent Control and Automation, 2008. WCICA 2008. 7th World Congress on
Conference_Location :
Chongqing
Print_ISBN :
978-1-4244-2113-8
Electronic_ISBN :
978-1-4244-2114-5
DOI :
10.1109/WCICA.2008.4593901
