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Zbl 0770.93080
Rosen, J.G.; Wang, C.
On stabilizability and sampling for infinite dimensional systems. (English)
[J] IEEE Trans. Autom. Control 37, No.10, 1653-1656 (1992). ISSN 0018-9286

Summary: Some questions, either motivated by, or related to, time sampling, regarding the stabilizability of infinite-dimensional or distributed parameter systems are considered. In particular, these include the characterization of those systems which are finite rank stabilizable, and the preservation of stabilizability under sampling. A pathological class of systems, which when sampled, arbitrarily small perturbations in the sampling rate may render the sampled system unstabilizable, is identified. The approach taken in establishing these results is based upon a spectral decomposition of the infinitesimal generator of the underlying open-loop semigroup. The results obtained apply to control systems with dynamics described by broad classes of partial and functional differential equations that arise frequently in applications.

MSC 2000:: *93D15 Stabilization of systems by feedback

Keywords: time sampling

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