On finite gain L (P) stability of nonlinear sampled-data systems

摘要

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 L-p stability of the sampled-data system for all p is an element of [1, infinity]. This result generalizes results on L-p stability of sampled-data linear systems and it is an important tool for analysis of robustness of sampled-data nonlinear systems with inputs. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 14]