The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Nonlinear Control Synthesis by Convex Optimization

På svenska

Author

Summary, in English

A stability criterion for nonlinear systems, recently derived by thethird author, can be viewed as a dual to Lyapunov's second theorem.The criterion is stated in terms of a function which can beinterpreted as the stationary density of a substance that is generatedall over the state space and flows along the system trajectoriestowards the equilibrium.The new criterion has a remarkable convexity property, which in thispaper is used for controller synthesis via convex optimization. Recentnumerical methods for verification of positivity of multivariatepolynomials are used.

Publishing year

2004

Language

English

Pages

310-314

Publication/Series

IEEE Transactions on Automatic Control

Volume

49

Issue

2

Document type

Journal article

Publisher

IEEE - Institute of Electrical and Electronics Engineers Inc.

Topic

  • Control Engineering

Keywords

  • semidefinite programming relaxation
  • Density functions
  • nonlinear control
  • sum of squares decomposition

Status

Published

ISBN/ISSN/Other

  • ISSN: 0018-9286