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- Title
Bounded real lemma for positive discrete systems.
- Authors
Wang, Cuihong
- Abstract
The bounded real lemma for positive discrete time‐invariant systems is addressed in this study. The results about bounded real lemma for continuous time‐invariant systems are extended into discrete time‐invariant systems. Such systems are asymptotically stable and their H∞ norm less than one is equivalent to that the corresponding linear matrix inequality admits a diagonal positive‐definite solution. The last example in this study illustrates the result does not hold for general discrete time‐invariant systems.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2013, Vol 7, Issue 5, p502
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2012.0167