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2.2 Linear State-Variable Systems 29
State-Space Representation
In a similar fashion to the continuous-time case, the following state-vector is
defined:
(2.2.13)
The input-output equation then reduces to
y(k)=b 0 x 1 (k)+b 1 x 2 (k)+…+ b n-1 x n (k)+u(k) (2.2.14)
A more compact formulation of (2.2.7) and (2.2.8) is given by
(2.2.15)
where
(2.2.16)
Copyright © 2004 by Marcel Dekker, Inc.
