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On convexity in stabilization of nonlinear systems

In English

Författare

Summary, in English

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

Publiceringsår

2000

Språk

Engelska

Sidor

2942-2945

Publikation/Tidskrift/Serie

Proceedings of the 39th IEEE Conference on Decision and Control, 2000.

Volym

3

Dokumenttyp

Konferensbidrag

Förlag

IEEE - Institute of Electrical and Electronics Engineers Inc.

Ämne

  • Control Engineering

Nyckelord

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

Status

Published

ISBN/ISSN/Övrigt

  • ISBN: 0-7803-6638-7