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On convexity in stabilization of nonlinear systems

Rantzer, Anders LU and Parrilo, Pablo (2000) In Proceedings of the 39th IEEE Conference on Decision and Control, 2000. 3. p.2942-2945
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
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
stability criteria, polynomials, optimisation, nonlinear control systems, Lyapunov methods, control system synthesis
in
Proceedings of the 39th IEEE Conference on Decision and Control, 2000.
volume
3
pages
2942 - 2945
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • Scopus:0034438616
ISBN
0-7803-6638-7
DOI
10.1109/CDC.2000.914264
language
English
LU publication?
yes
id
1c8dc838-619d-4694-89df-e92e8dbe76f8 (old id 538012)
date added to LUP
2007-09-24 16:46:52
date last changed
2016-10-13 04:43:21
@misc{1c8dc838-619d-4694-89df-e92e8dbe76f8,
  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},
  author       = {Rantzer, Anders and Parrilo, Pablo},
  isbn         = {0-7803-6638-7},
  keyword      = {stability criteria,polynomials,optimisation,nonlinear control systems,Lyapunov methods,control system synthesis},
  language     = {eng},
  pages        = {2942--2945},
  publisher    = {ARRAY(0xb5db7b8)},
  series       = {Proceedings of the 39th IEEE Conference on Decision and Control, 2000.},
  title        = {On convexity in stabilization of nonlinear systems},
  url          = {http://dx.doi.org/10.1109/CDC.2000.914264},
  volume       = {3},
  year         = {2000},
}