On convexity in stabilization of nonlinear systems

Anders Rantzer, Pablo Parrilo

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

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Abstract

A stability criterion for nonlinear systems, derived by the first author (2000), can be viewed as a dual to Lyapunov's second theorem. The criterion is stated in terms of a function which can be interpreted as the stationary density of a substance that is generated all over the state space and flows along the system trajectories towards the equilibrium. The new criterion has a remarkable convexity property, which in this paper is used for controller synthesis via convex optimization. Numerical methods for verification of positivity of multivariate polynomials are used
Original languageEnglish
Title of host publicationProceedings of the 39th IEEE Conference on Decision and Control, 2000.
PublisherIEEE - Institute of Electrical and Electronics Engineers Inc.
Pages2942-2945
Volume3
ISBN (Print)0-7803-6638-7
DOIs
Publication statusPublished - 2000

Publication series

Name
Volume3

Subject classification (UKÄ)

  • Control Engineering

Free keywords

  • stability criteria
  • polynomials
  • optimisation
  • nonlinear control systems
  • Lyapunov methods
  • control system synthesis

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