Title :
Stability Analysis of Time-Varying Neutral Time-Delay Systems
Author_Institution :
EPI DISCO, INRIA-Saclay, Gif-sur-Yvette, France
Abstract :
We propose a new technique of stability analysis for a general family of linear time-varying systems with delay of neutral type. We establish results of exponential stability through a new technique which relies on the notion of nonnegative system and the design of linear time-varying Lyapunov functionals. However, the studied systems are not assumed to be nonnegative.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear systems; time-varying systems; Lyapunov functionals; exponential stability; linear time-varying systems; neutral time-delay systems; nonnegative system; Asymptotic stability; Delays; Linear matrix inequalities; Lyapunov methods; Stability analysis; Time-varying systems; Vectors; Delay; Lyapunov; neutral; stability; time-varying;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2014.2342095
