MATH319 Slides

161 Criterion for well posed SFL

Lemma

The SFL system is well posed if and only if 1+GK0, and in this case, the inputs determine the states by

[xyz]=11+GK[1-G-1K1-KGKG1][rdn].

We abbreviate this to X=ΦU. The proof consists of calculating the inverse of the matrix above.