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DESCRIPTION:Small Phase Theorem: versions 1.0 and 2.0\n\nAbstract: Is there
  a small phase theorem in parallel to the small gain theorem? This is of n
 o problem for SISO LTI systems since the phase response of such a system i
 s well defined.\n\nFor MIMO LTI systems\, this question becomes nontrivial
  since a good definition of matrix phase had not been available until rece
 ntly. In this talk\, we start with two definitions of matrix phase and pre
 sent two corresponding versions of the small phase theorem.\n\nOur current
  study shows that we can even extend the concept of phase and the small ph
 ase theorem to nonlinear systems and much beyond.\n\nProfessor Li Qiu\n\nD
 epartment of Electronic and Computer Engineering\n\nHong Kong University o
 f Science and Technology\n\nProf. Li Qiu received his Ph.D. degree in elec
 trical engineering from the University of Toronto in 1990. After briefly w
 orking in the Canadian Space Agency\, the Fields Institute for Research in
  Mathematical Sciences (Waterloo)\, and the Institute of Mathematics and i
 ts Applications (Minneapolis)\, he joined Hong Kong University of Science 
 and Technology in 1993\, where he is now a Professor of Electronic and Com
 puter Engineering.\n\nProf. Qiu’s research interests include system\, co
 ntrol\, optimization theory\, and mathematics for information technology\,
  as well as their applications in manufacturing industry and energy system
 s. He is also interested in control education and coauthored an undergradu
 ate textbook “Introduction to Feedback Control” which was published by
  Prentice-Hall in 2009. He served as an associate editor of the IEEE Trans
 actions on Automatic Control and an associate editor of Automatica. He was
  the general chair of the 7th Asian Control Conference\, which was held in
  Hong Kong in 2009. He was a Distinguished Lecturer from 2007 to 2010 and 
 was a member of the Board of Governors in 2012 and 2017 of the IEEE Contro
 l Systems Society. He is the founding chairperson of the Hong Kong Automat
 ic Control Association and a vice president of Asian Control Association. 
 He is a Fellow of IEEE and a Fellow of IFAC.\n\nCo-sponsored by: Prof. Dr.
  Ryozo Nagamune / Dejan Kihas \n\nAgenda: \nGathering and Introduction\n\n
 Presentation\n\nQ&amp;A\n\nRoom: CEME 2202\, Bldg: CEME (Civil and Mechanical 
 Engineering Building)\, University of British Columbia\, Vancouver \, 6250
  Applied Science Ln\, Vancouver\, BC V6T 1Z4\, Vancouver \, British Columb
 ia\, Canada\, Virtual: https://events.vtools.ieee.org/m/333239
LOCATION:Room: CEME 2202\, Bldg: CEME (Civil and Mechanical Engineering Bui
 lding)\, University of British Columbia\, Vancouver \, 6250 Applied Scienc
 e Ln\, Vancouver\, BC V6T 1Z4\, Vancouver \, British Columbia\, Canada\, V
 irtual: https://events.vtools.ieee.org/m/333239
ORGANIZER:nagamune@mech.ubc.ca
SEQUENCE:12
SUMMARY:Talk and Webinar: Small Phase Theorem: versions 1.0 and 2.0 by Prof
 . Li Qiu from Hong Kong University of Science and Technology
URL;VALUE=URI:https://events.vtools.ieee.org/m/333239
X-ALT-DESC:Description: &lt;br /&gt;&lt;p&gt;Small Phase Theorem:&amp;nbsp\; versions 1.0 a
 nd 2.0&lt;/p&gt;\n&lt;p&gt;Abstract: Is there a small phase theorem in parallel to the
  small gain theorem? This is of no problem for SISO LTI systems since the 
 phase response of such a system is well defined.&lt;/p&gt;\n&lt;p&gt;For MIMO LTI syst
 ems\,&amp;nbsp\;this question becomes nontrivial since a good definition of ma
 trix phase had not been available until recently. In this talk\, we start 
 with two definitions of matrix phase and present two corresponding version
 s of the small phase theorem.&lt;/p&gt;\n&lt;p&gt;Our current study shows that we can 
 even extend the concept of phase and the small phase theorem to nonlinear 
 systems and much beyond.&lt;/p&gt;\n&lt;p&gt;&amp;nbsp\;&lt;/p&gt;\n&lt;p&gt;Professor Li Qiu&lt;/p&gt;\n&lt;p&gt;
 Department of Electronic and Computer Engineering&lt;/p&gt;\n&lt;p&gt;Hong Kong Univer
 sity of Science and Technology&lt;/p&gt;\n&lt;p&gt;Prof. Li Qiu received his Ph.D. deg
 ree in electrical engineering from the University of Toronto in 1990. Afte
 r briefly working in the Canadian Space Agency\, the Fields Institute for 
 Research in Mathematical Sciences (Waterloo)\, and the Institute of Mathem
 atics and its Applications (Minneapolis)\, he joined Hong Kong University 
 of Science and Technology in 1993\, where he is now a Professor of Electro
 nic and Computer Engineering.&lt;/p&gt;\n&lt;p&gt;Prof. Qiu&amp;rsquo\;s research interest
 s include system\, control\, optimization theory\, and mathematics for inf
 ormation technology\, as well as their applications in manufacturing indus
 try and energy systems. He is also interested in control education and coa
 uthored an undergraduate textbook &amp;ldquo\;Introduction to Feedback Control
 &amp;rdquo\; which was published by Prentice-Hall in 2009. He served as an ass
 ociate editor of the IEEE Transactions on Automatic Control and an associa
 te editor of Automatica. He was the general chair of the 7th Asian Control
  Conference\, which was held in Hong Kong in 2009. He was a Distinguished 
 Lecturer from 2007 to 2010 and was a member of the Board of Governors in 2
 012 and 2017 of the IEEE Control Systems Society. He is the founding chair
 person of the Hong Kong Automatic Control Association and a vice president
  of Asian Control Association. He is a Fellow of IEEE and a Fellow of IFAC
 .&lt;/p&gt;\n&lt;p&gt;&amp;nbsp\;&lt;/p&gt;&lt;br /&gt;&lt;br /&gt;Agenda: &lt;br /&gt;&lt;p&gt;Gathering and Introducti
 on&amp;nbsp\;&lt;/p&gt;\n&lt;p&gt;Presentation&amp;nbsp\;&lt;/p&gt;\n&lt;p&gt;Q&amp;amp\;A&lt;/p&gt;\n&lt;p&gt;&amp;nbsp\;&lt;/p&gt;
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