DocumentCode
3531990
Title
Robust stability of singularly perturbed systems with delays
Author
Yang Yang ; Yuan Wang
Author_Institution
Dept. of Math. Sci., Florida Atlantic Univ., Boca Raton, FL, USA
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
3975
Lastpage
3980
Abstract
We consider in this work stability of singularly perturbed systems with time delays. It is shown that if the boundary layer system is robustly globally asymptotically stable and if the reduced slow system admits a Lyapunov-Razumikhin function, then the singularly perturbed system has certain “practical and semi-global” asymptotic stability property as the parameter of singular perturbation reduces to zero.
Keywords
asymptotic stability; delays; discrete systems; robust control; Lyapunov-Razumikhin function; boundary layer system; practical semiglobal asymptotic stability property; reduced slow system; robust global asymptotic stability; robust stability; singular perturbation parameter; singularly perturbed systems; time delays; Asymptotic stability; Delay effects; Delays; Lyapunov methods; Robustness; Stability analysis; Trajectory;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location
Firenze
ISSN
0743-1546
Print_ISBN
978-1-4673-5714-2
Type
conf
DOI
10.1109/CDC.2013.6760497
Filename
6760497
Link To Document