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SUMMARY:Switched differential systems - Paolo Rapisarda (joint work with J
 onathan C. Mayo-Maldonado)\, University of Southampton
DTSTART:20140324T140000Z
DTEND:20140324T150000Z
UID:TALK51193@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:Switched systems arise in many areas of physics and engineerin
 g\, when different dynamical regimes are triggered depending on the value 
 of a “switching rule”. In this talk\, I will concentrate on systems th
 at follow linear\, time-invariant dynamics between one switching instant a
 nd the next. \n\nTraditionally\, such switched systems are modeled with st
 ate space representations sharing the same state space. However\, several 
 reasons suggest that other\, more general types of representations could a
 nd should be used. These considerations led us to develop a framework in w
 hich the different dynamical regimes are represented by systems of higher-
 order constant-coefficient linear differential equations\, together with 
 “gluing conditions” specifying certain requirements on the trajectorie
 s at the switching instants. We call these “switched linear differential
  systems”. \n\nIn this talk I will illustrate some of the basic features
  of our approach\, and discuss stability and dissipativity in this framewo
 rk\, including some applications in modelling and analysis of power electr
 onics systems.
LOCATION:Cambridge University Engineering Department\, LR6
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