DocumentCode
3527766
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
fYear
2013
fDate
10-13 Dec. 2013
Firstpage
2245
Lastpage
2250
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;
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.2013.6760215
Filename
6760215
Link To Document