# Arrows showing differences in pgfplots

I am working on 2nd order systems with overthrow. How to draw the following arrows as I have poorly put in this example using Paint?

\begin{center}
\begin{tikzpicture}
\begin{axis}
[
axis line style={shorten >=-10pt, shorten <=-10pt},
axis y line=center,
axis x line=middle,
no markers,
ytick={1.6 ,1.85},
yticklabels={$s(\infty)$, Consigne},
xtick={1.631},
xticklabels={$t_m$},
xlabel style={
anchor=west,
at={(ticklabel* cs:1.0)},
xshift=10pt
},
ylabel style={
anchor=south,
at={(ticklabel* cs:1.0)},
yshift=10pt
},
xlabel=$t$,ylabel=$s(t)$,
]
\end{axis}
\end{tikzpicture}
\end{center}

• You can have a look at tex.stackexchange.com/questions/46176/… and it's overshoot by the way. – percusse Dec 10 '17 at 20:02
• Actually, it's supposed to be "dépassement": the course is in French. So the actual name in English is the least of my concerns. Thanks for pointing this out to me anyway! – Majd Freigi Dec 11 '17 at 6:43

Disclaimer: This code does not compute the location of the maximum. All I did was to draw the arrows and their annotation.

\documentclass{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\begin{document}
\begin{tikzpicture}
\begin{axis}
[
axis line style={shorten >=-10pt, shorten <=-10pt},
axis y line=center,
axis x line=middle,
no markers,
ytick={1.6 ,1.85},
yticklabels={$s(\infty)$, Consigne},
xtick={1.631},
xticklabels={$t_m$},
xlabel style={
anchor=west,
at={(ticklabel* cs:1.0)},
xshift=10pt
},
ylabel style={
anchor=south,
at={(ticklabel* cs:1.0)},
yshift=10pt
},
xlabel=$t$,ylabel=$s(t)$,
]