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<meta name=Title content="Miroslav Krstic - Nonlinear and Adaptive Control">
<meta name=Keywords content="">
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<div class=WordSection1>

<h3 style='margin-bottom:6.0pt'><a name="_RESEARCH"></a><span style='font-size:
18.0pt;font-family:"Arial Black",sans-serif;mso-fareast-font-family:"Times New Roman";
color:windowtext'>RESEARCH</span><span style='font-size:16.0pt;font-family:
"Arial Black",sans-serif;mso-fareast-font-family:"Times New Roman";color:windowtext'><o:p></o:p></span></h3>

<p class=MsoNormal><span style='font-size:11.0pt;font-family:"Arial",sans-serif;
mso-bidi-font-family:"Times New Roman"'><span style='mso-tab-count:1'>            </span><o:p></o:p></span></p>

<table class=MsoTableGrid border=0 cellspacing=0 cellpadding=0
 style='margin-left:.3in;background:#EDEDED;mso-background-themecolor:accent3;
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 1184;mso-padding-alt:5.75pt 5.4pt 5.75pt 5.4pt;mso-border-insideh:none;
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 <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes'>
  <td width=163 valign=top style='width:1.7in;padding:6.5pt 5.75pt 7.9pt 5.75pt'>
  <p class=MsoNormal style='margin-top:0in;margin-right:0in;margin-bottom:6.0pt;
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  style='font-size:14.0pt;mso-bidi-font-size:10.0pt;font-family:Symbol;
  mso-fareast-font-family:Symbol;mso-bidi-font-family:Symbol'><span
  style='mso-list:Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
  </span></span></span><![endif]><b><span style='font-size:14.0pt;font-family:
  "Arial",sans-serif;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:
  minor-bidi'><a href="http://flyingv.ucsd.edu/krstic/publications-krstic.htm">Papers</a>
  </span></b><span style='font-size:11.0pt;font-family:"Arial",sans-serif;
  mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:minor-bidi'>(pdf)</span><span
  style='font-size:14.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
  "Times New Roman";mso-bidi-theme-font:minor-bidi'><o:p></o:p></span></p>
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  tab-stops:list .5in'><![if !supportLists]><span style='font-size:14.0pt;
  mso-bidi-font-size:10.0pt;font-family:Symbol;mso-fareast-font-family:Symbol;
  mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span
  style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><b><span
  style='font-size:14.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
  "Times New Roman";mso-bidi-theme-font:minor-bidi'><a
  href="http://flyingv.ucsd.edu/krstic/Books.html">BOOKS</a></span></b><span
  style='font-size:14.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
  "Times New Roman";mso-bidi-theme-font:minor-bidi'><o:p></o:p></span></p>
  </td>
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<p class=MsoNormal style='margin-bottom:6.0pt'><b style='mso-bidi-font-weight:
normal'><span style='font-size:11.0pt;font-family:"Arial",sans-serif;
mso-bidi-font-family:"Times New Roman";color:windowtext'><o:p>&nbsp;</o:p></span></b></p>

<table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0 width=382
 style='width:286.5pt;margin-left:1.0pt;background:#E1E9FF;border-collapse:
 collapse;border:none;mso-border-alt:double windowtext 1.5pt;mso-border-bottom-alt:
 solid windowtext .5pt;mso-yfti-tbllook:1184;mso-padding-alt:.1in 5.4pt .1in 5.4pt;
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 <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;height:.75in'>
  <td width=202 style='width:151.5pt;border-top:double 2.25pt;border-left:solid 1.0pt;
  border-bottom:double 2.25pt;border-right:solid 1.0pt;border-color:#00B0F0;
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  background:#D9E2F3;padding:.1in 5.4pt .1in 5.4pt;height:.75in'>
  <p align=center style='text-align:center'><b><span style='font-size:16.0pt;
  font-family:"Arial",sans-serif'><a
  href="http://flyingv.ucsd.edu/krstic/chronology.html"><span style='font-weight:
  normal'>Control-theoretic topics </span>pioneered</a></span></b><b><u><span
  style='font-size:16.0pt;font-family:"Arial",sans-serif;color:#0000BF'><o:p></o:p></span></u></b></p>
  </td>
  <td width=180 style='width:135.0pt;border:double #00B0F0 2.25pt;border-left:
  none;mso-border-left-alt:solid #00B0F0 .5pt;background:#D9E2F3;padding:.1in 5.4pt .1in 5.4pt;
  height:.75in'>
  <p align=center style='text-align:center'><b><span style='font-size:16.0pt;
  font-family:"Arial",sans-serif'><a
  href="http://flyingv.ucsd.edu/krstic/industry.html">Industry <span
  style='font-weight:normal'>impact</span></a><o:p></o:p></span></b></p>
  </td>
 </tr>
 <tr style='mso-yfti-irow:1;mso-yfti-lastrow:yes;height:64.35pt'>
  <td width=202 style='width:151.5pt;border-top:none;border-left:solid #00B0F0 1.0pt;
  border-bottom:double #00B0F0 2.25pt;border-right:solid #00B0F0 1.0pt;
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  <p align=center style='text-align:center'><span style='font-size:12.0pt;
  font-family:"Arial",sans-serif'><a
  href="https://flyingv.ucsd.edu/krstic/neur-op-control.html">my take on
  employing ‘A.I.’ for control</a> <o:p></o:p></span></p>
  <p align=center style='margin-top:6.0pt;text-align:center'><span
  style='font-size:12.0pt;font-family:"Arial",sans-serif'>(neural operators)<o:p></o:p></span></p>
  </td>
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  border-bottom:double #00B0F0 2.25pt;border-right:double #00B0F0 2.25pt;
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  background:#E2EFD9;mso-background-themecolor:accent6;mso-background-themetint:
  51;padding:.1in 5.4pt .1in 5.4pt;height:64.35pt'>
  <p align=center style='text-align:center'><span style='font-size:12.0pt;
  font-family:"Arial",sans-serif'><a
  href="https://flyingv.ucsd.edu/krstic/AI-on-Krstic.html">A.I.’s <span
  class=GramE>take</span> on my control research</a><o:p></o:p></span></p>
  </td>
 </tr>
</table>

<p class=MsoNormal style='margin-top:6.0pt;tab-stops:346.4pt'><span
style='font-size:20.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=MsoListParagraphCxSpFirst style='margin-bottom:6.0pt;mso-add-space:
auto;text-indent:-.25in;mso-list:l3 level1 lfo7'><![if !supportLists]><span
style='font-size:11.0pt;font-family:Symbol;mso-fareast-font-family:Symbol;
mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span
style='font-size:11.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
"Times New Roman"'><a
href="https://en.wikipedia.org/wiki/Miroslav_Krstić#Research_in_Control_Theory"><b>Research</b>
synopsis on <b>Wikipedia</b></a><span style='mso-tab-count:1'>     </span><o:p></o:p></span></p>

<p class=MsoListParagraphCxSpMiddle style='margin-bottom:6.0pt;mso-add-space:
auto;text-indent:-.25in;mso-list:l3 level1 lfo7'><![if !supportLists]><span
style='font-size:11.0pt;font-family:Symbol;mso-fareast-font-family:Symbol;
mso-bidi-font-family:Symbol'><span style='mso-list:Ignore'>·<span
style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span
style='font-size:11.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
"Times New Roman"'><a
href="https://en.wikipedia.org/wiki/Miroslav_Krstić#Concepts_and_methods_introduced_by_Krstić">List
of theoretical concepts and design tools originated (Wikipedia)</a><o:p></o:p></span></p>

<p class=MsoListParagraphCxSpMiddle style='margin-bottom:6.0pt;mso-add-space:
auto;text-indent:-.25in;mso-list:l3 level1 lfo7'><![if !supportLists]><span
style='font-size:11.0pt;font-family:Symbol;mso-fareast-font-family:Symbol;
mso-bidi-font-family:Symbol;mso-bidi-font-weight:bold'><span style='mso-list:
Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><b style='mso-bidi-font-weight:normal'><span
style='font-size:11.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
"Times New Roman"'><a
href="https://www.incontrolpodcast.com/1632769/episodes/16954129-ep31-miroslav-krstic-nonlinear-adaptive-control-pdes-delays-extremum-seeking-safety-neural-operators-for-control">InControl
<span style='font-weight:normal;mso-bidi-font-weight:bold'>podcast</span></a></span></b><span
style='font-size:11.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
"Times New Roman";mso-bidi-font-weight:bold'> (2025)<o:p></o:p></span></p>

<p class=MsoListParagraphCxSpLast style='margin-bottom:6.0pt;mso-add-space:
auto;text-indent:-.25in;mso-list:l3 level1 lfo7'><![if !supportLists]><span
style='font-size:11.0pt;font-family:Symbol;mso-fareast-font-family:Symbol;
mso-bidi-font-family:Symbol;mso-bidi-font-weight:bold'><span style='mso-list:
Ignore'>·<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span></span></span><![endif]><span style='font-size:11.0pt;font-family:"Arial",sans-serif;
mso-bidi-font-weight:bold'>Interview with Anuradha <span class=SpellE>Annaswamy</span>
in <i>Control Systems </i>magazine (2026) on extremum seeking: “</span><span
style='font-size:11.0pt;font-family:"Arial",sans-serif'><a
href="http://flyingv.ucsd.edu/papers/PDF/Extremum_Seeking_The_Simple_Feedback_That_Will_Outlive_Us_All_Histories_of_Control.pdf">Extremum
Seeking: The Simple Feedback That Will Outlive Us All</a>”<span
style='mso-bidi-font-weight:bold'><o:p></o:p></span></span></p>

<p class=MsoNormal style='margin-top:6.0pt;margin-right:-1.25in;margin-bottom:
6.0pt;margin-left:0in;tab-stops:2.0in 4.0in 6.0in 571.5pt 9.25in'><span
style='font-size:12.0pt;mso-bidi-font-size:11.0pt'><o:p>&nbsp;</o:p></span></p>

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 style='width:286.0pt;margin-left:1.0pt;background:#E1E9FF;border-collapse:
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 <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes;
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  <td width=153 valign=top style='width:115.0pt;border:solid white 2.25pt;
  mso-border-themecolor:background1;background:#EAF5FF;padding:.1in 5.4pt .1in 5.4pt;
  height:1.0pt'>
  <p class=MsoNormal align=center style='text-align:center'><b
  style='mso-bidi-font-weight:normal'><span style='font-size:12.0pt;font-family:
  "Arial",sans-serif;color:black;mso-themecolor:text1'><a
  href="http://flyingv.ucsd.edu/krstic/seminars.html"><span style='color:black;
  mso-themecolor:text1'>seminar videos</span></a><o:p></o:p></span></b></p>
  <p class=MsoNormal align=center style='text-align:center'><span
  style='font-size:12.0pt;font-family:"Arial",sans-serif;color:black;
  mso-themecolor:text1;mso-bidi-font-weight:bold'>since 2021</span><b
  style='mso-bidi-font-weight:normal'><span style='font-size:12.0pt;font-family:
  "Arial",sans-serif;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:
  minor-bidi;color:black;mso-themecolor:text1'><o:p></o:p></span></b></p>
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  mso-border-left-themecolor:background1;background:#EAF5FF;padding:.1in 5.4pt .1in 5.4pt;
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  <p class=MsoNormal align=center style='text-align:center'><b
  style='mso-bidi-font-weight:normal'><span style='font-size:12.0pt;font-family:
  "Arial",sans-serif;mso-bidi-font-family:"Times New Roman";mso-bidi-theme-font:
  minor-bidi;color:black;mso-themecolor:text1'><a
  href="http://flyingv.ucsd.edu/krstic/keynotes.html"><span style='color:black;
  mso-themecolor:text1'>keynotes</span></a><o:p></o:p></span></b></p>
  </td>
  <td width=126 style='width:94.5pt;border:solid white 2.25pt;mso-border-themecolor:
  background1;border-left:none;mso-border-left-alt:solid white 2.25pt;
  mso-border-left-themecolor:background1;background:#EAF5FF;padding:.1in 5.4pt .1in 5.4pt;
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  <p align=center style='text-align:center'><b style='mso-bidi-font-weight:
  normal'><span style='font-size:12.0pt;font-family:"Arial",sans-serif;
  mso-bidi-font-family:"Times New Roman";color:black;mso-themecolor:text1'><a
  href="http://flyingv.ucsd.edu/krstic/students+postdocs.html"
  title="As Sr. Assoc. Vice Chancellor for Research, Professor Krstic oversees the following UCSD units:"><span
  style='color:black;mso-themecolor:text1'>students &amp; postdocs</span></a><o:p></o:p></span></b></p>
  </td>
 </tr>
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style='font-size:12.0pt;mso-bidi-font-size:11.0pt'><o:p>&nbsp;</o:p></span></p>

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 style='margin-left:.3in;background:white;mso-background-themecolor:background1;
 border-collapse:collapse;border:none;mso-yfti-tbllook:1184;mso-padding-alt:
 0in 5.4pt 0in 5.4pt;mso-border-insideh:none;mso-border-insidev:none'>
 <tr style='mso-yfti-irow:0;mso-yfti-firstrow:yes;mso-yfti-lastrow:yes'>
  <td width=421 style='width:315.9pt;padding:.1in 5.75pt .1in .1in'>
  <p class=MsoNormal style='tab-stops:580.0pt'><span style='font-size:14.0pt;
  font-family:"Arial",sans-serif;mso-bidi-font-family:"Times New Roman";
  color:#EE0000'><a
  href="https://scholargps.com/highly-ranked-scholars?year=2025&amp;ranking_duration=LIFETIME_ALL&amp;specialty=Control+theory"><span
  class=SpellE><span style='color:#EE0000'>ScholarGPS<sup>TM</sup></span></span><span
  style='color:#EE0000'> ranking of <b><i>Control Theorists</i></b></span></a><i><o:p></o:p></i></span></p>
  <p class=MsoNormal style='tab-stops:580.0pt'><span style='font-size:11.0pt;
  font-family:"Arial",sans-serif;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p>
  <p class=MsoNormal style='tab-stops:346.4pt'><span style='font-size:11.0pt;
  font-family:"Arial",sans-serif;mso-bidi-font-family:"Times New Roman"'><a
  href="http://scholar.google.com/citations?user=V6MAuuoAAAAJ&amp;hl=en"><b
  style='mso-bidi-font-weight:normal'>Google Scholar</b> citation summary</a><o:p></o:p></span></p>
  <p class=MsoNormal style='tab-stops:346.4pt'><span style='font-size:11.0pt;
  font-family:"Arial",sans-serif;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p>
  <p class=MsoNormal style='tab-stops:346.4pt'><span style='font-size:11.0pt;
  font-family:"Arial",sans-serif;mso-bidi-font-family:"Times New Roman"'><a
  href="https://www.scopus.com/hirsch/author.uri?accessor=authorProfile&amp;auidList=26643475500&amp;authorName=Krstic%2c+Miroslav&amp;origin=AuthorProfile&amp;txGid=fac025ca4834ee59d26b05554c30adec">Scopus
  publication summary</a> by journals and conferences<i style='mso-bidi-font-style:
  normal'> <o:p></o:p></i></span></p>
  </td>
 </tr>
</table>

<p class=MsoNormal style='margin-right:-1.25in;tab-stops:2.0in 4.0in 6.0in 571.5pt 9.25in'><span
style='font-size:12.0pt;mso-bidi-font-size:11.0pt'><span style='mso-tab-count:
3'>                                                                                                                                                </span></span><span
style='font-size:11.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
"Times New Roman"'><span style='mso-tab-count:2'>                                                                              </span><span
style='mso-spacerun:yes'>             </span><o:p></o:p></span></p>

<p class=MsoNormal style='tab-stops:346.4pt'><span style='font-size:11.0pt;
font-family:"Arial",sans-serif;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

<p class=MsoNormal style='tab-stops:346.4pt'><span class=SpellE><span
style='font-size:11.0pt;font-family:"Arial",sans-serif;mso-bidi-font-family:
"Times New Roman"'>Erdös</span></span><span style='font-size:11.0pt;font-family:
"Arial",sans-serif;mso-bidi-font-family:"Times New Roman"'> number: 3 (via <a
href="http://flyingv.ucsd.edu/papers/PDF/45.pdf">this paper</a> with Ruth
Williams)<i style='mso-bidi-font-style:normal'><o:p></o:p></i></span></p>

<p class=MsoNormal style='tab-stops:10.0in'><span style='font-size:11.0pt;
font-family:"Arial",sans-serif;mso-bidi-font-family:"Times New Roman"'><o:p>&nbsp;</o:p></span></p>

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