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Upper and lower bounds for approximation in the gap metric

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2 Author(s)
T. T. Georgiou ; Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA ; M. C. Smith

Upper and lower bounds for the closest approximant of degree k <n in the gap metric to a plant of degree n are obtained. The bounds are expressed in terms of the singular values of two Hankel operators defined in terms of 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

Published in:

IEEE Transactions on Automatic Control  (Volume:38 ,  Issue: 6 )