DocumentCode
3634772
Title
Input-to-state stability analysis via averaging for parameterized discrete-time systems
Author
Wei Wang;Dragan Nešić
Author_Institution
Department of Electrical and Electronic Engineering, The university of Melbourne, Parkville, 3010, Victoria, Australia
fYear
2009
Firstpage
1399
Lastpage
1404
Abstract
The paper studies semi-global practical input-to-state stability (SGP-ISS) of a parameterized family of discrete-time systems that may arise when an approximate discrete-time model of a sampled-data system with disturbances is used for controller design. It is shown under appropriate conditions that if the solutions of the time varying family of discrete-time systems with disturbances converge uniformly on compact time intervals to the solutions of the average family of discrete-time systems, then ISS of the average family of systems implies SGPISS of the original family of systems.
Keywords
"Stability analysis","Nonlinear systems","Time varying systems","Sampling methods","Control systems","Discrete time systems","Difference equations","History","Australia","Nonlinear control systems"
Publisher
ieee
Conference_Titel
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
ISSN
0191-2216
Print_ISBN
978-1-4244-3871-6
Type
conf
DOI
10.1109/CDC.2009.5399993
Filename
5399993
Link To Document