Problem 3 (c) -- Errata

From MurrayWiki

In part (c) of this problem you will have to use as input $u (k) = s i n (ω k)$ , and find the steady state system response. The correct general formula which you should prove is as follows:

$M e j θ = C (e j ω I - A) - 1 B + D$

Hint: assume that $u(k)=sin(\omega k)=\mathcal{I}m(e^{j\omega k})$ .

You can therefore find the solution in the required form by using the Euler formulas: use $u (k) = e j ω k$ and express the general solution of the difference equation as $x (k) = G e j ...$ (you need to figure out this exponent!).

--Elisa

Problem 3 (c) -- Errata

From MurrayWiki

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