ISSN:
1435-568X
Keywords:
Key words. Hankel operator, Hankel singular value, Hankel singular vector, Model reduction, Infinite-dimensional systems, Inner function.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
,
Mathematics
,
Technology
Notes:
Abstract. This paper derives exact formulas for singular values and vectors of Hankel operators whose symbol is a product of a single-input single-output inner function and a multi-input multi-output rational function. This class of Hankel operators arises from the sensitivity minimization H ∞ control problem with a rational weight function and the approximation problem of transfer functions having rational outer parts. It is shown that there is a Hamiltonian transcendental equation characterizing singular values which leads to a matrix function formula for singular vectors.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00009857
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