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Linear stabilizability of planar nonlinear systems

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Abstract

This paper considers scalar-input two-dimensional nonlinear systems for which the linearization, has a simple zero uncontrollable eigenvalue. The existence of linear stabilizing feedback laws is investigated, using center manifold techniques.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129, Torino, Italy

    Andrea Bacciotti & Paolo Boieri

Authors
  1. Andrea Bacciotti
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  2. Paolo Boieri
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Additional information

This work was partially supported by the Ministero della Pubblica Istruzione, Italia (Progetti di ricerca, di interesse nazionale).

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Bacciotti, A., Boieri, P. Linear stabilizability of planar nonlinear systems. Math. Control Signal Systems 3, 183–193 (1990). https://doi.org/10.1007/BF02551367

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  • DOI: https://doi.org/10.1007/BF02551367

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