A linear system is described by x= [~2 ~2 i] x+ [~] u 0 -3 -2 2 y = [ -11 0) X.

Using standard notat·ion used in this chapter

(a) Find the transfer function of this system and establish its controllability, observability and stability.

(b) Find a non-singular transformation T such that r- 1 AT is diagonal.

(c) Determine the state-transition matrix cp(s).

Problem