Question

A single input single output linear system is a described by the equations $\frac{dx}{dt}=Ax+Bu$ and $y=cx+du$, where A is an [n x n] matric and x and b are [n x 1] vectors. The transfer function is given by

• A. $c[sI-A{]}^{-1}b$
• B. $c[sI-A{]}^{-1}b+d$
• C. $c[sI-A]b$
• D. $c[sI-A]b+d$

Answer 1

The correct option is B $c[sI-A{]}^{-1}b+d$

$c[sI-A{]}^{-1}b+d$