detectability test
[k, n, U, Sld] = dt_ility(Sl) [k, n, U, Sld] = dt_ility(Sl, tol)
linear system (syslin
list)
dimension of unobservable subspace
dimension of unstable, unobservable subspace (k<=n
).
orthogonal matrix
linear system (syslin
list)
threshold for controllability test.
Detectability test for sl
, a linear system in state-space
representation.
U
is a basis whose k
first columns span the
unstable, unobservable subspace of Sl
(intersection
of unobservable subspace of (A,C)
and unstable subspace
of A
). Detectability means k=0
.
Sld = (U'*A*U,U'*B,C*U,D)
displays the "detectable part"
of Sl=(A,B,C,D)
, i.e.
with (A33,C3)
observable (dimension nx-n
), A22
stable
(dimension n-k
) and A11
unstable (dimension k
).