Stabilization by sampled and discrete feedback with positive sampling rate

L. Grüne: Stabilization by sampled and discrete feedback with positive sampling rate
in: Stability and Stabilization of Nonlinear Systems (NCN), Chapter 9, D. Aeyels, F. Lamnabhi-Lagarrigue, A. van der Schaft (eds.)
Lecture Notes in Control and Information Sciences 246, Springer Verlag, London, 1999, 165 - 182

DOI: 10.1007/1-84628-577-1
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Abstract:

In this paper we discuss recent results on stabilization by means of discontinuous feedback using a sampled closed loop system. Special emphasis is put on requirements on the sampling rate needed in order to achieve stability of the sampled closed loop system. In particular we focus on the cases where stabilization is possible using a fixed positive sampling rate, i.e. where the intersampling times do not tend to zero. A complete characterization of these cases is given for systems with certain homogenity properties.

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