DocumentCode
2078387
Title
On finite gain ℒp stability of nonlinear sampled-data systems
Author
Zaccarian, Luca ; Teel, Andrew R. ; Nesic, Dragan
Author_Institution
Dipt. di Informatica, Sistemi a Produzione, Rome Univ., Italy
Volume
5
fYear
2002
fDate
2002
Firstpage
3523
Abstract
It is shown that uniform global exponential stability of the input-free discrete-time model of a globally Lipschitz sampled-data time-varying nonlinear system with inputs implies finite gain Lp stability of the sampled-data system for all p ∈ [1, ∞]. This result generalizes results on Lp stability of sampled-data linear systems and it is an important tool for analysis of robustness of sampled-data nonlinear systems with inputs.
Keywords
asymptotic stability; discrete time systems; nonlinear control systems; sampled data systems; time-varying systems; finite gain ℒp stability; globally Lipschitz sampled-data time-varying nonlinear system; input-free discrete-time model; nonlinear sampled-data systems; robustness analysis; uniform global exponential stability; Control systems; Data engineering; Data systems; Emulation; Linear systems; Nonlinear control systems; Nonlinear systems; Robust stability; Stability analysis; Time varying systems;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2002. Proceedings of the 2002
ISSN
0743-1619
Print_ISBN
0-7803-7298-0
Type
conf
DOI
10.1109/ACC.2002.1024474
Filename
1024474
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