I need help with the following problem:
(A) Show that a system (A, B) is controllable if and only if [sI-A B] has rank N = dim X for all s ∈ C.
(B) Show that (a) is equivalent to saying that every eigenvector on the left of A is not
Orthogonal to B, that is, if h ∈ Cn Such that h´A = λh´ , For λ ∈ C then h´B 6 not equal to 0
(Hautus' controllability criterion).
(C) Show that a system (C, A) is observable if and only if the vector
Has post N = dim X for all s ∈ C.
(D) Show that (c) is equivalent to saying that every eigenvector of A is not in the nucleus Of C, that is, if h ∈ Cn 'and such that Ah = λh´ , For λ ∈ C then Ch not equal to 0 (criterion of Observability of Hautus).
11 фрилансеров(-а) в среднем готовы выполнить эту работу за R$103
I am an experienced aerospace engineer in control systems. I have checked the problems and I am ready to solve them right away.. Please message me if interested..