Title :
Construction of Lyapunov functionals for coupled differential and continuous time difference equations
Author :
Mazenc, F. ; Ito, H. ; Pepe, P.
Author_Institution :
EPI INRIA DISCO, Supelec, Gif-sur-Yvette, France
Abstract :
A new stability analysis technique for systems composed of a differential equation coupled with a continuous time difference equation is proposed. It is based on the explicit construction of Lyapunov functionals from the knowledge of Lyapunov functions for subsystems. Robustness results of iISS type are inferred from these functionals.
Keywords :
Lyapunov methods; continuous time systems; difference equations; stability; Lyapunov functionals; continuous time difference equations; coupled differential equations; explicit construction; iISS; integral-input-to-state stability; stability analysis; Delays; Difference equations; Differential equations; Lyapunov methods; Stability criteria; Trajectory; Lyapunov functional; delay; difference equation; stability;
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.2013.6760215
