Webbläsaren som du använder stöds inte av denna webbplats. Alla versioner av Internet Explorer stöds inte längre, av oss eller Microsoft (läs mer här: * https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Var god och använd en modern webbläsare för att ta del av denna webbplats, som t.ex. nyaste versioner av Edge, Chrome, Firefox eller Safari osv.

Nonlinear Control Synthesis by Convex Optimization

Författare

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.

Publiceringsår

2004

Språk

Engelska

Sidor

310-314

Publikation/Tidskrift/Serie

IEEE Transactions on Automatic Control

Volym

49

Issue

2

Dokumenttyp

Artikel i tidskrift

Förlag

IEEE - Institute of Electrical and Electronics Engineers Inc.

Ämne

  • Control Engineering

Nyckelord

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

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 0018-9286