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Homogeneous systems stabilization based on convex embedding

Published: 01 August 2023 Publication History

Abstract

The paper develops control algorithms for a class of affine nonlinear systems using the so-called canonical homogeneous representation. It is demonstrated that such a representation exists for any homogeneous vector field bounded on the unit sphere. It is shown that canonical homogeneous representation is useful for LMI-based control design and stability analysis of nonlinear systems. Theoretical results are supported by numerical examples.

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Information

Published In

cover image Automatica (Journal of IFAC)
Automatica (Journal of IFAC)  Volume 154, Issue C
Aug 2023
319 pages

Publisher

Pergamon Press, Inc.

United States

Publication History

Published: 01 August 2023

Author Tags

  1. homogeneous systems
  2. nonlinear systems
  3. finite-time stabilization
  4. nearly fixed-time stabilization

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