✦ LIBER ✦

On the stability of projections of balanced realizations

✍ Scribed by James Lam; Y.S. Hung

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 683 KB
Volume: 257
Category: Article
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(96)00148-6

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✦ Synopsis

This paper generalizes a stability property concerning the state matrix of a balanced realization established by Pernebo and Silverman. It is shown that stability is preserved under a general projection of the state matrix provided that the Hankel singular values of the realization are distinct. A necessary and sufficient condition for the case with nondistinct Hankel singular values is also established.

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