Page 382 - Schaum's Outline of Theory and Problems of Signals and Systems
P. 382
CHAP. 71 STATE SPACE ANALYSIS
where q,( t ) = dq,( t )/dl.
In matrix form Eqs. (7.15a) and (7.156) can be expressed as
Now we define an N X 1 matrix (or N-dimensional vector) q(t) which we call the state
vector:
The derivative of a matrix is obtained by taking the derivative of each element of the
matrix. Thus
Then Eqs. (7.16a) and (7.166) can be rewritten compactly as
