Detecting Nearly Uncontrollable Pairs
نویسندگان
چکیده
Given a controllable pair of matrices (A; B), the distance to the set of uncontrollable pairs is obtained as the minimum singular value of the set of augmented matrices A ? I; B] as varies over the complex plane. This study develops one dimensional and two dimensional algorithms to calculate or estimate the distance. The algorithms give guaranteed upper and lower bounds.
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