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SUMMARY:Stability analysis for hybrid dynamical systems - Professor Andrew
  R. Teel (Department of Electrical Engineering\, University of California\
 , Santa Barbara)
DTSTART:20080512T100000Z
DTEND:20080512T110000Z
UID:TALK10546@talks.cam.ac.uk
CONTACT:Dr Guy-Bart Stan
DESCRIPTION:Hybrid dynamical systems combine continuous-time dynamics with
  discrete-time dynamics.  They include physical systems that interact with
  discrete automata\, mechanical systems that experience impacts\, and vari
 ous other types of systems with impulsive characteristics.\nHybrid systems
  exhibit rich dynamical behavior\, including some phenomena that do not ap
 pear in continuous-time or discrete-time systems acting alone.  Neverthele
 ss\, many of the stability analysis tools that are available for classical
  dynamical systems\, including Lyapunov theorems and the invariance princi
 ple\, can be applied readily to hybrid dynamical systems.\nIn this talk\, 
 we present a modeling framework for hybrid dynamical systems in which asym
 ptotic stability enjoys some inherent robustness properties and is equival
 ent to the existence of a smooth Lyapunov function. We also describe addit
 ional stability analysis tools\, including one based on an invariance prin
 ciple for hybrid systems. Finally\, we discuss some hybrid control algorit
 hms that follow from the analysis tools described in the talk.
LOCATION: Cambridge University Engineering Department\, Lecture Room 6
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