DocumentCode
1695355
Title
On averaging and the ISS property
Author
Nesic, D. ; Teel, A.R.
Author_Institution
Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
Volume
4
fYear
1999
fDate
6/21/1905 12:00:00 AM
Firstpage
3346
Abstract
Input-to-state stability (ISS) is investigated in the context of averaging. “Strong” and “weak” averages are introduced and their ISS properties are used to deduce ISS properties of the actual system. ISS of the strong average implies uniform semi-global practical ISS of the actual system. The weak average is a more general concept, but does not yield the same strong implication. On the other hand, ISS of the weak average implies uniform semi-global practical ISS of the actual system when the disturbances are uniformly Lipschitz
Keywords
Lyapunov methods; control system analysis; stability; time-varying systems; Lipschitz disturbance; Lyapunov function; averaging technique; input-to-state stability; strong average; time varying systems; weak average; Adaptive control; Asymptotic stability; Control system synthesis; Nonlinear control systems; Nonlinear systems; Performance analysis; Sampling methods; Stability analysis; Time varying systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location
Phoenix, AZ
ISSN
0191-2216
Print_ISBN
0-7803-5250-5
Type
conf
DOI
10.1109/CDC.1999.827789
Filename
827789
Link To Document