Page 391 - Schaum's Outline of Theory and Problems of Signals and Systems
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STATE SPACE ANALYSIS [CHAP. 7
Fig. 7-1
In matrix form
or
where
7.2. Redo Prob. 7.1 by choosing the outputs of unit-delay elements 2 and 1 as state
variables u,[n] and u,[n], respectively, and verify the relationships in Eqs. (7.10~) and
(7. lob).
We redraw Fig. 7-1 with the new state variables as shown in Fig. 7-2. From Fig. 7-2 we have
u,[n + 11 = 3ul[n] + 2u,[n] +x[n]
+ 11 = c,[n]
~l~[n
y[n] = 3ul[n] + 2u2[n] +x[n]
Fig. 7-2
