H. Logemann et L. Pandolfi, A NOTE ON STABILITY AND STABILIZABILITY OF NEUTRAL SYSTEMS, IEEE transactions on automatic control, 39(1), 1994, pp. 138-143
Citations number
16
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
This note presents frequency-domain characterizations of exponential s
tability and stabilizability of neutral systems based on transfer-func
tion matrices and the existence of 'nice' solutions of certain Bezout
equations. It turns out that the existence of H infinity-solutions is
not sufficient for exponential stabilizability, but that they have to
satisfy an additional growth assumption as well. Whilst the proofs of
our results are based on an abstract infinite-dimensional representati
on of the neutral system, we emphasize that the results are expressed
in terms of the original parameters of the neutral equation and do not
require a reformulation of the system in an abstract state-space form
. The sufficiency parts of the results hold even when the delay operat
or acting on the derivative contains a singular part.