
226 Feedback Control in Systems Biology
globally optima l solution if h ≥ n + p, where h is the number of data points,
n is the number of state variables and p is the number of perturbations. To
increase the number of data po ints, a fter using a cubic smoothing spline fil-
ter, a piecewise cubic spline interpolation is performed. Then a Princ ipal
Component Analysis (PCA) is applied to the data set in order to reduce its
dimensionality and the problem is solved in the reduced dimension space.
In order to compute the continuous-time system’s matrice s, A and B, fr om
the co rresponding discretised A
d
and B
d
, respectively, the following bilinear
transformatio ...