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The extended generalized distance problem in discrete time

✍ Scribed by Vlad Ionescu; Cristian Oară

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
114 KB
Volume
8
Category
Article
ISSN
1049-8923

No coin nor oath required. For personal study only.

✦ Synopsis

We obtain the class of all solutions to the extended (two block) generalized distance problem for discretetime systems by employing the so-called 'signature condition'-a generalized Popov theory type argument which parallels the J-spectral factorization approach. The novelty is that we derive explicit state-space formulae in terms of one Riccati and one Lyapunov equation while we remove the usual assumption in the discrete case on the time reversibility (invertibility of the state matrix) of the system to be approximated.

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