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SUMMARY:Input-to-State Stability for complex dynamics: From global to almo
 st global… and back - David Angeli\, Imperial College London
DTSTART:20180510T130000Z
DTEND:20180510T140000Z
UID:TALK102601@talks.cam.ac.uk
CONTACT:Alberto Padoan
DESCRIPTION:Classical Input-to-State Stability is a tool for modelling and
  characterizing robustness to exogenous disturbances for nonlinear systems
  with a globally asymptotically stable equilibrium. The theory nicely exte
 nds classical Lyapunov stability theory\, while allowing to quantify the i
 mpact of disturbances. However\, in its original formulation\, it does not
  allow an easy extension to more complex dynamics\, such as multiple stabl
 e equilibria or non-trivial attractors\, such as limit cycles. We discuss 
 several approaches to tackle this issue and present several recent results
  that allow to extend the ISS approach to nonlinear systems with decomposa
 ble omega-limit sets and evolving on a manifold without boundary.\n
LOCATION:Cambridge University Engineering Department\, Lecture Theatre 6
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