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
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;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760497
