4.6 Article

CONTINUOUS AND DISCONTINUOUS HOMOGENEOUS FEEDBACKS FINITE-TIME PARTIALLY STABILIZING CONTROLLABLE MULTICHAINED SYSTEMS

Journal

SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 52, Issue 1, Pages 520-544

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/110856393

Keywords

finite-time partial stability; homogeneity; Holder feedback laws; discontinuous feedback laws; m-chained systems

Funding

  1. LIM Laboratory of the Polytechnic School of Tunisia

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This paper gives various constructions of stabilizing feedbacks of the well-known chained systems by various approaches. Briefly, the paper presents new alternatives to overcome the Brockett's obstruction; these alternatives are the finite-time partially stabilizability by continuous or discontinuous state feedback laws.

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