Abstract
The effect of sampling on the convergence of closed loop continuous systems is investigated. The systems under consideration are nonlinear containing parameter uncertainties. It is shown that the discretized of a converging controller results in convergence of the sampled data closed loop system; i.e., a nonlinear continuous-time system subject to a discrete controller; if the sampling time is in an open set and the continuous plant satisfies certain Lipschitz type conditions. The results are derived for both global and local convergences.
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© 1997 Springer Science+Business Media Dordrecht
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Astuti, P., Corless, M., Williamson, D. (1997). On the Convergence of Sampled Data Nonlinear Systems. In: van Groesen, E., Soewono, E. (eds) Differential Equations Theory, Numerics and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5157-3_10
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DOI: https://doi.org/10.1007/978-94-011-5157-3_10
Publisher Name: Springer, Dordrecht
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