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CATEGORIES:CUED Control Group Seminars
SUMMARY:Minkowski\, Lyapunov\, and Bellman: Inequalities a
nd Equations for Stability and Optimal Control - S
asa Rakovic\, Beijing Institute of Technology
DTSTART;TZID=Europe/London:20190912T140000
DTEND;TZID=Europe/London:20190912T150000
UID:TALK127513AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/127513
DESCRIPTION:The algebraic Lyapunov and Bellman equations\, and
inequalities\, are cornerstone objects in linear
systems theory. These equations\, and inequalities
\, are concerned with convex quadratic functions v
erifying stability in case of Lyapunov equation an
d providing optimality in case of Bellman equation
. Rather peculiarly\, very little had been known a
bout Lyapunov and Bellman equations\, and inequali
ties\, within space of Minkowski functions of none
mpty convex compact subsets containing the origin
in their interior prior to my work in the area. Ke
y results of my related research on these fundamen
tal problems have provided characterization of sol
utions to both Lyapunov and Bellman equations with
in space of Minkowski functions\, referred to as t
he Minkowskiâ€“Lyapunov and Minkowskiâ€“Bellman equati
ons. The talk outlines key results underpinning th
ese two fundamental equations and related inequali
ties\, and draws parallel to classical results on
algebraic Lyapunov and Bellman equations and inequ
alities.\n
LOCATION:Cambridge University Engineering Department\, Semi
nar Room JDB
CONTACT:Alberto Padoan
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