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SUMMARY:A Modern Conjecture on Absolute Stability - Joaquin Carrasco\, Uni
 versity of Manchester
DTSTART:20230126T140000Z
DTEND:20230126T150000Z
UID:TALK196255@talks.cam.ac.uk
CONTACT:Fulvio Forni
DESCRIPTION:The class of O'Shea-Zames-Falb multipliers provides the best-k
 nown results for the absolute stability of the feedback interconnection be
 tween a Linear Time-Invariant (LTI) system and any slope-restricted nonlin
 earity. For discrete-time systems\, we know that they do fully characteris
 e the class of slope-restricted nonlinearities\, hence it is natural to st
 ate the following conjecture: The O'Shea-Zames-Falb multipliers are necess
 ary and sufficient for absolute stability. \nThis seminar will provide a b
 rief overview of absolute stability. Then we will cover recent results on 
 the construction of destabilising nonlinearities when we can discard the e
 xistence of an O'Shea-Zames-Falb multiplier via duality results as well as
  the latest development showing the current bottlenecks to prove or dispro
 ve this conjecture.\n\nThe seminar will be held in the JDB Seminar Room\, 
 Department of Engineering\, and online (zoom): https://us06web.zoom.us/j/8
 7986687566?pwd=MGJScmMwd2lwT0tVMHNmWmxSa05XZz09
LOCATION:Department of Engineering / Online (Zoom)
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