Title :
On stability properties of time-varying systems with delays
Author :
Tiwari, Shanaz ; Wang, Yuan
Author_Institution :
Dept. of Math. Sci., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
We consider several stability properties in the framework of input-to-state stability for time-varying systems with delays. By following a natural approach to convert a time-varying system to an auxiliary time-invariant system, we obtain several results including Razumikhin-type stability criteria, Razumikhin-Lyapunov functions with non-strict decay rates, and cyclic small-gain theorems for time-varying systems with delays.
Keywords :
Lyapunov methods; delays; input-output stability; stability criteria; time-varying systems; Razumikhin-Lyapunov functions; Razumikhin-type stability criteria; auxiliary time-invariant system; cyclic small-gain theorems; delays; input-to-state stability; nonstrict decay rates; time-varying systems; Delay; Estimation; Lyapunov methods; Stability criteria; Time varying systems; Trajectory; Razumikhin theorems; delays; input-to-state stability; nonlinear small-gain; time-varying systems;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160468
