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
fDate :
6/21/1905 12:00:00 AM
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;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827789
