Page 358 - Mechanical Engineers' Handbook (Volume 2)

6 State-Variable Methods 349

Table 8 (Continued)

sX(s) x(0) AX(s) BU(s)

The solution to the fixed linear system therefore can be written as

1
x(t) L [X(s)]
1
1
L [ (s)]x(0) L [ (s)BU(s)]
where (s) is called the resolvent matrix and
(t) L [ (s)] L [sI A] 1
1
1