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SUMMARY:Transfer functions of infinite-dimensional systems: positive realn
 ess\, stabilization and absolute stability - Chris Guiver\, University of 
 Bath
DTSTART:20170224T140000Z
DTEND:20170224T150000Z
UID:TALK70773@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:I shall present recent work with others on a general class of 
 operator-valued irrational positive-real functions with an emphasis on the
 ir frequency-domain properties and the relation with stabilization by outp
 ut feedback. Such functions arise naturally as the transfer functions of n
 umerous infinite-dimensional control systems\, including examples specifie
 d by PDEs. Our results include characterizations of positive realness in t
 erms of imaginary axis conditions\, as well as characterizations in terms 
 of stabilizing output feedback\, where both static and dynamic output feed
 back is considered. One motivation for the present study is to prepare the
  way for absolute and input-to-state stability results for Lur'e systems i
 n an infinite dimensional setting. Positive realness provides a viable app
 roach to proving stability in this context and arises in conditions such a
 s the well-known circle criterion which shall be discussed.
LOCATION:Cambridge University Engineering Department\, LR3A
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