How do you calculate such derivative?
$$\frac{d\ \ x_{1}\left(k+1\right)\ }{d\ \ x_{1}(k)}$$
Sorry for the probably silly question but I have been having some serious trouble with this
2026-03-26 04:32:43.1774499563
What is the derivative of a delayed function in discrete time?
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I've never really seen this notation, but it probably refers to recurrences of the form $x (k+1) = g(x(k))$. In this framework, I'd say that $$ \frac{d x(k+1)}{d x(k)} := g'(x(k)). $$