Dl. Chu et Ys. Hung, A numerical solution for the simultaneous disturbance decoupling and row-by-row decoupling problem, LIN ALG APP, 320(1-3), 2000, pp. 37-49
The numerical computation of the simultaneous disturbance decoupling and ro
w-by-row decoupling problem is considered. Based on a condensed form for th
e system matrices the solvability of the simultaneous disturbance decouplin
g and row-by-row decoupling problem is reduced to the verification of an in
teger equality and the nonsingularity of a lower-dimensional constant matri
x. The condensed form we use is computed using only orthogonal transformati
ons, which can be implemented in a numerically stable way. Hence, it leads
directly to an effective numerical method for solving the disturbance decou
pling and row-by-row decoupling problem using existing tools such as LAPACK
and Matlab. Our result complements existing geometric and structural appro
aches which are of a theoretical nature and are not suitable for numerical
computation. (C) 2000 Elsevier Science Inc. All rights reserved. AMS classi
fication: 93B05; 93B40; 93B52; 65F35.