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On finite gain Lp stability of nonlinear sampled-data systems

✍ Scribed by Luca Zaccarian; Andrew R. Teel; Dragan Nešić

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
290 KB
Volume
49
Category
Article
ISSN
0167-6911

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✦ Synopsis

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 ÿnite 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.

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