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Numerically robust delta-domain solutions to discrete-time Lyapunov equations

✍ Scribed by Piotr Suchomski

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 138 KB
Volume: 47
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(02)00215-3

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✦ Synopsis

A problem of numerical conditioning of a special kind of discrete-time Lyapunov equations is considered. It is assumed that a discretisation procedure equipped with the zero-order holder mechanism is utilised that leads to the data matrices that are a nely related to the sampling period and matrices that are independent or linearly related to the squared sampling period. It is shown that common forward shift operator techniques for solving these equations become ill-conditioned for a su ciently small sampling period and that numerical robustness and reliability of computations can be signiÿcantly improved via utilising the so-called delta operator form of the origin equations.

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