Upper and lower bounds for approximation in the gap metric
- 9 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 2262-2267 vol.3
- https://doi.org/10.1109/cdc.1991.261550
Abstract
The authors establish upper and lower bounds for the closest approximant of degree k<n in the gap metric to a plant of degree n. The bounds are expressed in terms of the singular values of two Hankel operators defined from the symbol of the graph of the plant. The question of robust stability and performance of feedback systems is examined in the context of approximation of plant and controller in the gap metric.Keywords
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