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DTSTAMP:20241105T180947Z
UID:86BDF93C-DC60-4525-B214-20945B0A5652
DTSTART;TZID=America/New_York:20241105T110000
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DESCRIPTION:Passivity theory is one of the cornerstones of control theory p
 roviding a systematic way to study the stability of interconnected systems
 . In practice\, many systems are not passive\, and must be passivized in o
 rder to be included in the framework of passivity theory. Input-output (lo
 op) transformations are the most general tool for passivizing systems. In 
 this paper\, we propose a characterization of all possible input-output tr
 ansformations that map a system with given shortage of passivity to a syst
 em with prescribed excess of passivity. We do so by using the connection b
 etween passivity theory and cones for SISO systems\, and using the S-lemma
  for MIMO systems. We also present several possible applications of our re
 sults\, including simultaneous passivation of multiple systems or with res
 pect to multiple equilibria\, as well as optimization problems such as $\\
 mathcal{L}_2$-gain minimization.\n\nSpeaker(s): Daniel Zelazo\n\nAgenda: \
 n- Talk by Daniel Zelazo at 11:00 am\n- Lunch box after the talk at 12:00 
 pm\n- You don't have to be an IEEE member to attend this meeting.\n\nRoom:
  202\, Bldg: ECE\, 141 Warren St\, New Jersey Institute of Technology\, Ne
 wark\, New Jersey\, United States\, 07103
LOCATION:Room: 202\, Bldg: ECE\, 141 Warren St\, New Jersey Institute of Te
 chnology\, Newark\, New Jersey\, United States\, 07103
ORGANIZER:marcos.netto@njit.edu
SEQUENCE:22
SUMMARY:A Characterization of All Passivizing Input-Output Transformations 
 of a Passive-Short System
URL;VALUE=URI:https://events.vtools.ieee.org/m/443089
X-ALT-DESC:Description: <br /><p>Passivity theory is one of the cornerstone
 s of control theory providing a systematic way to study the stability of i
 nterconnected systems. In practice\, many systems are not passive\, and mu
 st be passivized in order to be included in the framework of passivity the
 ory. Input-output (loop) transformations are the most general tool for pas
 sivizing systems. In this paper\, we propose a characterization of all pos
 sible input-output transformations that map a system with given shortage o
 f passivity to a system with prescribed excess of passivity. We do so by u
 sing the connection between passivity theory and cones for SISO systems\, 
 and using the S-lemma for MIMO systems. We also present several possible a
 pplications of our results\, including simultaneous passivation of multipl
 e systems or with respect to multiple equilibria\, as well as optimization
  problems such as $\\mathcal{L}_2$-gain minimization.</p><br /><br />Agend
 a: <br /><p>- Talk by Daniel Zelazo at 11:00 am<br>- Lunch box after the t
 alk at 12:00 pm<br>- You don't have to be an IEEE member to attend this me
 eting.</p>
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