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Commit 53941c68 authored by Venkatraman Renganathan's avatar Venkatraman Renganathan
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Replace statesControlsDiff.tex

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...@@ -12,22 +12,19 @@ ...@@ -12,22 +12,19 @@
\usepackage{amsmath} \usepackage{amsmath}
\begin{document} \begin{document}
\definecolor{mycolor1}{rgb}{0.00000,0.44700,0.74100}%
\definecolor{mycolor2}{rgb}{0.85000,0.32500,0.09800}%
%
\begin{tikzpicture} \begin{tikzpicture}
\begin{axis}[% \begin{axis}[%
width=5.988in, width=5.949in,
height=3.462in, height=3.462in,
at={(1.051in,1.933in)}, at={(1.09in,1.933in)},
scale only axis, scale only axis,
xmin=0, xmin=0,
xmax=30, xmax=30,
xlabel style={font=\color{white!15!black}}, xlabel style={font=\color{white!15!black}},
xlabel={Time}, xlabel={Time},
ymin=0, ymin=-10,
ymax=0.671339457501923, ymax=10,
axis background/.style={fill=white}, axis background/.style={fill=white},
axis x line*=bottom, axis x line*=bottom,
axis y line*=left, axis y line*=left,
...@@ -35,76 +32,342 @@ xmajorgrids, ...@@ -35,76 +32,342 @@ xmajorgrids,
ymajorgrids, ymajorgrids,
legend style={legend cell align=left, align=left, draw=white!15!black} legend style={legend cell align=left, align=left, draw=white!15!black}
] ]
\addplot [color=mycolor1, line width=3.0pt, mark=o, mark options={solid, mycolor1}]
\addplot[area legend, draw=none, fill=blue, fill opacity=0.33, forget plot]
table[row sep=crcr] {%
x y\\
0 0\\
1 -1.47188760973618\\
2 -1.69307938453398\\
3 -1.66268795453995\\
4 -1.5674256970703\\
5 -1.46130287648592\\
6 -1.36118432593796\\
7 -1.27105930554312\\
8 -1.19147479852639\\
9 -1.12110432725541\\
10 -1.05824046956282\\
11 -1.00176255900523\\
12 -0.950820792181906\\
13 -0.903678744003469\\
14 -0.860138951854726\\
15 -0.819359247889299\\
16 -0.781219735972962\\
17 -0.745209988006671\\
18 -0.711337671493602\\
19 -0.679188762073307\\
20 -0.648568561179302\\
21 -0.620088293997704\\
22 -0.592667760067538\\
23 -0.56670391128131\\
24 -0.541827141439062\\
25 -0.518788314709262\\
26 -0.496703632493511\\
27 -0.475829132005901\\
28 -0.455867529221298\\
29 -0.436887597129502\\
30 -0.419019045314024\\
30 0.629161407991708\\
29 0.662186999020708\\
28 0.697552114905807\\
27 0.735438131211637\\
26 0.775837361472526\\
25 0.819087735274193\\
24 0.865209791350978\\
23 0.915213046319984\\
22 0.968444343151765\\
21 1.02546549498601\\
20 1.0861977785506\\
19 1.15168568722112\\
18 1.22161079330834\\
17 1.29621186804953\\
16 1.37588427084389\\
15 1.46044821873837\\
14 1.55009693786598\\
13 1.64448794278792\\
12 1.74335899188285\\
11 1.84540190461525\\
10 1.94967416164479\\
9 2.05314050524008\\
8 2.15121310993575\\
7 2.23704744055197\\
6 2.29972164047153\\
5 2.32169133958173\\
4 2.27623099460024\\
3 2.12044253399029\\
2 1.78663663863387\\
1 1.17191760973618\\
0 0\\
}--cycle;
\addplot [color=white!55!blue, forget plot]
table[row sep=crcr]{% table[row sep=crcr]{%
0 0\\ 0 0\\
1 0.0868531450295933\\ 1 -1.47188760973618\\
2 0.0592396129136521\\ 2 -1.69307938453398\\
3 0.02292800642409\\ 3 -1.66268795453995\\
4 0.00703726531601889\\ 4 -1.5674256970703\\
5 0.00503407952286938\\ 5 -1.46130287648592\\
6 0.00236484361248401\\ 6 -1.36118432593796\\
7 0.00475517153609833\\ 7 -1.27105930554312\\
8 0.00565861426749376\\ 8 -1.19147479852639\\
9 0.00782849892357232\\ 9 -1.12110432725541\\
10 0.00126563428970902\\ 10 -1.05824046956282\\
11 0.0112219585042816\\ 11 -1.00176255900523\\
12 0.0104068680524106\\ 12 -0.950820792181906\\
13 0.000552262176294407\\ 13 -0.903678744003469\\
14 0.00163248382029672\\ 14 -0.860138951854726\\
15 0.00720819079010328\\ 15 -0.819359247889299\\
16 0.00141424536453333\\ 16 -0.781219735972962\\
17 0.003482126274788\\ 17 -0.745209988006671\\
18 0.00484369925522417\\ 18 -0.711337671493602\\
19 0.00718440982967506\\ 19 -0.679188762073307\\
20 0.000222171329609193\\ 20 -0.648568561179302\\
21 0.00427816915295266\\ 21 -0.620088293997704\\
22 0.00330925101185076\\ 22 -0.592667760067538\\
23 0.00167994312998794\\ 23 -0.56670391128131\\
24 0.00352241622042904\\ 24 -0.541827141439062\\
25 0.00073999741902124\\ 25 -0.518788314709262\\
26 0.0022877917507506\\ 26 -0.496703632493511\\
27 0.00079574438631666\\ 27 -0.475829132005901\\
28 0.00901269252196008\\ 28 -0.455867529221298\\
29 0.0122897150768699\\ 29 -0.436887597129502\\
30 0.0128545299141771\\ 30 -0.419019045314024\\
}; };
\addlegendentry{$\left \Vert x^{\dagger}_{1} - x^{\star}_{1} \right \|_{1}$: white noise $w$} \addplot [color=white!55!blue, forget plot]
table[row sep=crcr]{%
0 0\\
1 1.17191760973618\\
2 1.78663663863387\\
3 2.12044253399029\\
4 2.27623099460024\\
5 2.32169133958173\\
6 2.29972164047153\\
7 2.23704744055197\\
8 2.15121310993575\\
9 2.05314050524008\\
10 1.94967416164479\\
11 1.84540190461525\\
12 1.74335899188285\\
13 1.64448794278792\\
14 1.55009693786598\\
15 1.46044821873837\\
16 1.37588427084389\\
17 1.29621186804953\\
18 1.22161079330834\\
19 1.15168568722112\\
20 1.0861977785506\\
21 1.02546549498601\\
22 0.968444343151765\\
23 0.915213046319984\\
24 0.865209791350978\\
25 0.819087735274193\\
26 0.775837361472526\\
27 0.735438131211637\\
28 0.697552114905807\\
29 0.662186999020708\\
30 0.629161407991708\\
};
\addplot [color=blue, line width=3.0pt]
table[row sep=crcr]{%
0 0\\
1 -0.149985\\
2 0.0467786270499419\\
3 0.22887728972517\\
4 0.354402648764972\\
5 0.430194231547906\\
6 0.469268657266782\\
7 0.482994067504425\\
8 0.479869155704677\\
9 0.466018088992334\\
10 0.445716846040985\\
11 0.42181967280501\\
12 0.396269099850474\\
13 0.370404599392223\\
14 0.344978993005629\\
15 0.320544485424536\\
16 0.297332267435464\\
17 0.27550094002143\\
18 0.255136560907371\\
19 0.236248462573908\\
20 0.218814608685651\\
21 0.202688600494155\\
22 0.187888291542114\\
23 0.174254567519337\\
24 0.161691324955958\\
25 0.150149710282465\\
26 0.139566864489508\\
27 0.129804499602868\\
28 0.120842292842255\\
29 0.112649700945603\\
30 0.105071181338842\\
};
\addlegendentry{$x^{\dagger} - x^{\star}$: white noise $w$}
\addplot [color=mycolor2, line width=3.0pt, mark=o, mark options={solid, mycolor2}]
\addplot[area legend, draw=none, fill=red, fill opacity=0.33, forget plot]
table[row sep=crcr] {%
x y\\
0 -7.01846253166949\\
1 -5.38382253295612\\
2 -3.96212233788245\\
3 -2.94942629978462\\
4 -2.23517343626306\\
5 -1.72271029867083\\
6 -1.34755817486401\\
7 -1.06806683277571\\
8 -0.857204718991648\\
9 -0.697234895035674\\
10 -0.573403090103039\\
11 -0.478423731441354\\
12 -0.398736265283362\\
13 -0.338027113888764\\
14 -0.288505674007264\\
15 -0.250489712719287\\
16 -0.221080024149331\\
17 -0.196125293426817\\
18 -0.17538331461919\\
19 -0.159666758644105\\
20 -0.15149045372223\\
21 -0.138599182589504\\
22 -0.130717957121051\\
23 -0.126061996332163\\
24 -0.121783119938881\\
25 -0.118283997072175\\
26 -0.115678621419303\\
27 -0.113659512642462\\
28 -0.111837690148309\\
29 -0.109081672082184\\
29 0.132501903925927\\
28 0.13585000157712\\
27 0.138151504476187\\
26 0.141724401967647\\
25 0.147935026985101\\
24 0.154599365684449\\
23 0.160770622292924\\
22 0.17036225162726\\
21 0.183163679451093\\
20 0.203824786361516\\
19 0.219486494662842\\
18 0.243512049003737\\
17 0.276553116032257\\
16 0.316343283759897\\
15 0.363963315967137\\
14 0.422069920155558\\
13 0.495851394805717\\
12 0.584775858232542\\
11 0.699377478710783\\
10 0.835311975949552\\
9 1.01086857263323\\
8 1.23460397221276\\
7 1.51730942708998\\
6 1.87971946682264\\
5 2.35211316243912\\
4 2.97668556760491\\
3 3.81229906239719\\
2 4.95202668497371\\
1 6.50160385851063\\
0 8.35470564262199\\
}--cycle;
\addplot [color=white!55!red, forget plot]
table[row sep=crcr]{%
0 -7.01846253166949\\
1 -5.38382253295612\\
2 -3.96212233788245\\
3 -2.94942629978462\\
4 -2.23517343626306\\
5 -1.72271029867083\\
6 -1.34755817486401\\
7 -1.06806683277571\\
8 -0.857204718991648\\
9 -0.697234895035674\\
10 -0.573403090103039\\
11 -0.478423731441354\\
12 -0.398736265283362\\
13 -0.338027113888764\\
14 -0.288505674007264\\
15 -0.250489712719287\\
16 -0.221080024149331\\
17 -0.196125293426817\\
18 -0.17538331461919\\
19 -0.159666758644105\\
20 -0.15149045372223\\
21 -0.138599182589504\\
22 -0.130717957121051\\
23 -0.126061996332163\\
24 -0.121783119938881\\
25 -0.118283997072175\\
26 -0.115678621419303\\
27 -0.113659512642462\\
28 -0.111837690148309\\
29 -0.109081672082184\\
};
\addplot [color=white!55!red, forget plot]
table[row sep=crcr]{%
0 8.35470564262199\\
1 6.50160385851063\\
2 4.95202668497371\\
3 3.81229906239719\\
4 2.97668556760491\\
5 2.35211316243912\\
6 1.87971946682264\\
7 1.51730942708998\\
8 1.23460397221276\\
9 1.01086857263323\\
10 0.835311975949552\\
11 0.699377478710783\\
12 0.584775858232542\\
13 0.495851394805717\\
14 0.422069920155558\\
15 0.363963315967137\\
16 0.316343283759897\\
17 0.276553116032257\\
18 0.243512049003737\\
19 0.219486494662842\\
20 0.203824786361516\\
21 0.183163679451093\\
22 0.17036225162726\\
23 0.160770622292924\\
24 0.154599365684449\\
25 0.147935026985101\\
26 0.141724401967647\\
27 0.138151504476187\\
28 0.13585000157712\\
29 0.132501903925927\\
};
\addplot [color=red, line width=3.0pt]
table[row sep=crcr]{% table[row sep=crcr]{%
0 0.671339457501923\\ 0 0.66812155547625\\
1 0.398128632026763\\ 1 0.558890662777253\\
2 0.310036870303036\\ 2 0.494952173545629\\
3 0.166381340638015\\ 3 0.431436381306285\\
4 0.039000507659078\\ 4 0.370756065670923\\
5 0.0834422165888566\\ 5 0.314701431884147\\
6 0.057811668534194\\ 6 0.266080645979314\\
7 0.0181057442361426\\ 7 0.224621297157136\\
8 0.0574107908604506\\ 8 0.188699626610558\\
9 0.013241255703171\\ 9 0.156816838798779\\
10 0.120433896143466\\ 10 0.130954442923257\\
11 0.0744914873243598\\ 11 0.110476873634714\\
12 0.0848430154706912\\ 12 0.0930197964745901\\
13 0.00567931865622329\\ 13 0.0789121404584767\\
14 0.0637462109334223\\ 14 0.0667821230741468\\
15 0.0192841692286815\\ 15 0.0567368016239254\\
16 0.00688372173284261\\ 16 0.047631629805283\\
17 0.0103133763966439\\ 17 0.0402139113027196\\
18 0.0108937827510889\\ 18 0.0340643671922733\\
19 0.0843927763740942\\ 19 0.0299098680093687\\
20 0.0831113094179744\\ 20 0.026167166319643\\
21 0.0068669195373595\\ 21 0.0222822484307942\\
22 0.0134674527273368\\ 22 0.0198221472531045\\
23 0.016933142888331\\ 23 0.0173543129803809\\
24 0.0750133472681332\\ 24 0.0164081228727844\\
25 0.0360956098994726\\ 25 0.0148255149564628\\
26 0.0135630311919922\\ 26 0.0130228902741721\\
27 0.120882226804632\\ 27 0.0122459959168624\\
28 0.0631228360651968\\ 28 0.0120061557144052\\
29 0.0658821454257002\\ 29 0.0117101159218717\\
}; };
\addlegendentry{$\left \Vert u^{\dagger}_{1} - u^{\star}_{1} \right \|_{1}$: white noise $w$} \addlegendentry{$u^{\dagger} - u^{\star}$: white noise $w$}
\end{axis} \end{axis}
\end{tikzpicture}% \end{tikzpicture}%
......
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