A new estimation of the lower error bound in balanced truncation method
نویسندگان
چکیده
منابع مشابه
A new estimation of the lower error bound in balanced truncation method
For a single-input/single-output (SISO) linear time-invariant dynamical system, the classical H∞-norm lower error bound of balanced truncation method is ‖G(s) −Gr(s)‖H∞ ≥ σr+1, where σi, i = 1, . . . , n, are the Hankel singular values of system in decreasing order. In this paper we provide a new estimation of the lower error, according to ‖G(s) −Gr(s)‖H∞ ≥ max{σd, 2 ∣∣∣∑ i<J siσi ∣∣∣}, where s...
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ژورنال
عنوان ژورنال: Automatica
سال: 2014
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2014.05.020