<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:st1="urn:schemas-microsoft-com:office:smarttags" xmlns="http://www.w3.org/TR/REC-html40">
<head>
<meta http-equiv=Content-Type content="text/html; charset=us-ascii">
<meta name=ProgId content=Word.Document>
<meta name=Generator content="Microsoft Word 11">
<meta name=Originator content="Microsoft Word 11">
<link rel=File-List href="cid:filelist.xml@01C78D64.55DD21F0">
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="City"/>
<o:SmartTagType namespaceuri="urn:schemas-microsoft-com:office:smarttags"
name="place"/>
<!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:DoNotRelyOnCSS/>
</o:OfficeDocumentSettings>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:WordDocument>
<w:SpellingState>Clean</w:SpellingState>
<w:GrammarState>Clean</w:GrammarState>
<w:DocumentKind>DocumentEmail</w:DocumentKind>
<w:EnvelopeVis/>
<w:ValidateAgainstSchemas/>
<w:SaveIfXMLInvalid>false</w:SaveIfXMLInvalid>
<w:IgnoreMixedContent>false</w:IgnoreMixedContent>
<w:AlwaysShowPlaceholderText>false</w:AlwaysShowPlaceholderText>
<w:Compatibility>
<w:BreakWrappedTables/>
<w:SnapToGridInCell/>
<w:WrapTextWithPunct/>
<w:UseAsianBreakRules/>
<w:UseWord2002TableStyleRules/>
<w:UseFELayout/>
</w:Compatibility>
<w:BrowserLevel>MicrosoftInternetExplorer4</w:BrowserLevel>
</w:WordDocument>
</xml><![endif]--><!--[if gte mso 9]><xml>
<w:LatentStyles DefLockedState="false" LatentStyleCount="156">
</w:LatentStyles>
</xml><![endif]--><!--[if !mso]>
<style>
st1\:*{behavior:url(#default#ieooui) }
</style>
<![endif]-->
<style>
<!--
/* Font Definitions */
@font-face
{font-family:SimSun;
panose-1:2 1 6 0 3 1 1 1 1 1;
mso-font-alt:\5B8B\4F53;
mso-font-charset:134;
mso-generic-font-family:auto;
mso-font-pitch:variable;
mso-font-signature:3 135135232 16 0 262145 0;}
@font-face
{font-family:"\@SimSun";
panose-1:2 1 6 0 3 1 1 1 1 1;
mso-font-charset:134;
mso-generic-font-family:auto;
mso-font-pitch:variable;
mso-font-signature:3 135135232 16 0 262145 0;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{mso-style-parent:"";
margin:0pt;
margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:12.0pt;
font-family:"Times New Roman";
mso-fareast-font-family:SimSun;
mso-fareast-language:ZH-CN;}
a:link, span.MsoHyperlink
{color:blue;
text-decoration:underline;
text-underline:single;}
a:visited, span.MsoHyperlinkFollowed
{color:purple;
text-decoration:underline;
text-underline:single;}
p.MsoAutoSig, li.MsoAutoSig, div.MsoAutoSig
{margin:0pt;
margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:12.0pt;
font-family:"Times New Roman";
mso-fareast-font-family:"Times New Roman";}
span.EmailStyle17
{mso-style-type:personal-compose;
mso-style-noshow:yes;
mso-ansi-font-size:10.0pt;
mso-bidi-font-size:10.0pt;
font-family:Arial;
mso-ascii-font-family:Arial;
mso-hansi-font-family:Arial;
mso-bidi-font-family:Arial;
color:windowtext;}
span.SpellE
{mso-style-name:"";
mso-spl-e:yes;}
span.GramE
{mso-style-name:"";
mso-gram-e:yes;}
@page Section1
{size:612.0pt 792.0pt;
margin:72.0pt 90.0pt 72.0pt 90.0pt;
mso-header-margin:36.0pt;
mso-footer-margin:36.0pt;
mso-paper-source:0;}
div.Section1
{page:Section1;}
-->
</style>
<!--[if gte mso 10]>
<style>
/* Style Definitions */
table.MsoNormalTable
{mso-style-name:"Table Normal";
mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
mso-style-noshow:yes;
mso-style-parent:"";
mso-padding-alt:0pt 5.4pt 0pt 5.4pt;
mso-para-margin:0pt;
mso-para-margin-bottom:.0001pt;
mso-pagination:widow-orphan;
font-size:10.0pt;
font-family:"Times New Roman";
mso-ansi-language:#0400;
mso-fareast-language:#0400;
mso-bidi-language:#0400;}
</style>
<![endif]--><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="2050" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]-->
</head>
<body lang=EN-US link=blue vlink=purple style='tab-interval:36.0pt'>
<div class=Section1>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial;font-weight:bold;
mso-bidi-font-weight:normal'>Guest Speaker<o:p></o:p></span></font></b></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Presented by: <st1:City w:st="on">Toyota</st1:City>
Technological Institute at <st1:City w:st="on"><st1:place w:st="on">Chicago</st1:place></st1:City><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial;font-weight:bold;
mso-bidi-font-weight:normal'>Speaker:<span style='mso-spacerun:yes'>
</span>Ali Jadbabaie<o:p></o:p></span></font></b></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Speaker’s homepage: <a
href="http://www.seas.upenn.edu/~jadbabai/">http://www.seas.upenn.edu/~jadbabai/</a><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=2
face=Arial><span style='font-size:10.0pt;font-family:Arial;font-weight:bold;
mso-bidi-font-weight:normal'>Date</span></font></b><font size=2 face=Arial><span
style='font-size:10.0pt;font-family:Arial'>: Thursday, May 03, 2007<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Time: 3:00<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'>Location: TTI-C Conference room<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 face=Arial><span style='font-size:10.0pt;
font-family:Arial'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=3
face="Times New Roman"><span style='font-size:12.0pt;font-weight:bold;
mso-bidi-font-weight:normal'>Title</span></font></b>: Distributed Coordination:
>From Flocking and Synchronization to Coverage in Sensor Networks<o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><b style='mso-bidi-font-weight:normal'><font size=3
face="Times New Roman"><span style='font-size:12.0pt;font-weight:bold;
mso-bidi-font-weight:normal'>Abstract:<o:p></o:p></span></font></b></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>In this talk, we provide a unified view of several distributed
coordination and consensus algorithms, which have appeared in various
disciplines such as distributed systems, statistical physics, biology, computer
graphics, robotics, and control theory over the past 2 decades.<span
style='mso-spacerun:yes'> </span>These algorithms have been proposed as a
mechanism for demonstrating emergence of a global collective behavior (such as
social aggregation in animals, schooling, flocking and synchronization in
oscillator networks) using purely local interactions.<span
style='mso-spacerun:yes'> </span>Utilizing tools from spectral graph
theory and control and dynamical systems theory, we provide an analysis of
these algorithms.<span style='mso-spacerun:yes'> </span>Using tools from
algebraic topology, we extend our results from graphs to simplicial complexes
to verify coverage in mobile sensor networks in a decentralized fashion.<span
style='mso-spacerun:yes'> </span>These simplicial complexes are induced
by the local connectivity of agents in a network, and their homology groups
allow us to infer the coverage properties of mobile sensort networks with
time-varying interconnections.<span style='mso-spacerun:yes'> </span>The
enabling mathematical technique for our result is the theory of higher order
Laplacian operators, which <span class=GramE>will be presented</span> as a
generalization of the graph Laplacian used in the first part of the talk for
analysis of synchronization, agreement and consensus problems.<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><span class=GramE><font size=3 face="Times New Roman"><span
style='font-size:12.0pt'>If you have any questions or would like to meet the
speaker,</span></font></span> please contact Ponda Barnes at <a
href="mailto:pondabarnes@tti-c.org">pondabarnes@tti-c.org</a><o:p></o:p></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'>For future TTI-C talks and events, please go to <a
href="http://ttic.uchicago.edu/cal/month.php"
title="blocked::http://ttic.uchicago.edu/cal/month.php">http://ttic.uchicago.edu/cal/month.php</a><o:p></o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=3 face="Times New Roman"><span style='font-size:
12.0pt'><o:p> </o:p></span></font></p>
</div>
</body>
</html>