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SUMMARY:Passivity\, Monotonicity\, and Network Optimization:  New Perspect
 ives for Network Systems Analysis - Daniel Zelazo\, Technion - Israel Inst
 itute of Technology
DTSTART:20220421T130000Z
DTEND:20220421T140000Z
UID:TALK172823@talks.cam.ac.uk
CONTACT:Xiaodong Cheng
DESCRIPTION:The study of large scale and complex interconnected systems is
  of great importance in today's networked world with applications ranging 
 from distributed power generation to deep space exploration. A great chall
 enge for these systems is to understand the interplay between the dynamic 
 properties of the individual systems comprising the networks\, the underly
 ing information exchange network\, and the interaction protocols governing
  the collective behavior. In this talk we will explore necessary and suffi
 cient conditions for a network of passive dynamical systems to reach an ou
 tput agreement\, i.e.\, the trajectories of each system will synchronize. 
 This leads to a refinement of classical passivity theory that we term maxi
 mal equilibrium passivity. We then show that the steady-state behavior of 
 these systems are in fact solutions to a family of classic network optimiz
 ation problems\, and as a result we draw connections between notions of du
 ality in static optimization to cooperative control. This network optimiza
 tion perspective also leads to synthesis methods for controllers to guaran
 tee the desired behavior of the network and provides new insights to class
 ical problems such as feedback passivation.
LOCATION:Dyson Seminar Room\, Department of Engineering / Online (Zoom Mee
 ting ID: 837 4007 0422 Passcode: 081031)
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