Decay of Hankel singular values of analytic control systems
نویسندگان
چکیده
منابع مشابه
Decay of Hankel singular values of analytic control systems
We show that control systems with an analytic semigroup and control and observation operators that are not too unbounded have a Hankel operator that belongs to the Schatten class Sp for all positive p. This implies that the Hankel singular values converge to zero faster than any polynomial rate. This in turn implies fast convergence of balanced truncations. As a corollary, decay rates for the e...
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The paper presents a revised and improved version of a polynomial algorithm published by N. J. Young in 1990 for the Computation of the singular values and vectors of the Hankel operator defined by a linear time-invariant system with rational transfer matrix.
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The Hankel operator of the system with single control input delay is established by using state-space formulation in this paper. In general, this type of operator is not a compact one. Singular values of this type of operator are studied. Two examples are used to illustrate the computation of Hankel singular value by the theoretical method proposed in this paper.
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This paper investigates the decay rate of the Hankel singular values of linear dynamical systems. This issue is of considerable interest in model reduction by means of balanced truncation, for instance, since the sum of the neglected singular values provides an upper bound for an appropriate norm of the approximation error. The decay rate involves a new set of invariants associated with a linea...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2010
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2010.07.009