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[Octave-bug-tracker] [bug #49801] [octave forge] (control) dlyap functio


From: Torsten Lilge
Subject: [Octave-bug-tracker] [bug #49801] [octave forge] (control) dlyap function does not work as expected
Date: Sat, 19 Jun 2021 09:29:02 -0400 (EDT)
User-agent: Mozilla/5.0 (X11; Linux x86_64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/90.0.4430.212 Safari/537.36

Follow-up Comment #2, bug #49801 (project octave):

I think, the matrix D in your discrete-time Lyapunov equation must be a
Hermitian matrix, i.e., a complex square matrix that is equal to its own
conjugate transpose. This is not the case and explains why the entries (3,1)
and (3,2) exactly differ by the related entries in D which would be 0 for a
Hermitian matrix.

When changing D to

D = [0 0 p;
     0 0 p;
     p p p];

the result is as expected.

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