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SUMMARY:Minkowski\, Lyapunov\, and Bellman: Inequalities and Equations for
  Stability and Optimal Control - Sasa Rakovic\, Beijing Institute of Techn
 ology
DTSTART:20190912T130000Z
DTEND:20190912T140000Z
UID:TALK127513@talks.cam.ac.uk
CONTACT:Alberto Padoan
DESCRIPTION:The algebraic Lyapunov and Bellman equations\, and inequalitie
 s\, are cornerstone objects in linear systems theory. These equations\, an
 d inequalities\, are concerned with convex quadratic functions verifying s
 tability in case of Lyapunov equation and providing optimality in case of 
 Bellman equation. Rather peculiarly\, very little had been known about Lya
 punov and Bellman equations\, and inequalities\, within space of Minkowski
  functions of nonempty convex compact subsets containing the origin in the
 ir interior prior to my work in the area. Key results of my related resear
 ch on these fundamental problems have provided characterization of solutio
 ns to both Lyapunov and Bellman equations within space of Minkowski functi
 ons\, referred to as the Minkowski–Lyapunov and Minkowski–Bellman equa
 tions. The talk outlines key results underpinning these two fundamental eq
 uations and related inequalities\, and draws parallel to classical results
  on algebraic Lyapunov and Bellman equations and inequalities.\n
LOCATION:Cambridge University Engineering Department\, Seminar Room JDB
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