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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Self-accessible states for linear systems on time scales
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by Hernán R. Henríquez and Jaqueline G. Mesquita PDF
Proc. Amer. Math. Soc. 146 (2018), 1257-1269 Request permission

Abstract:

In this paper, we are concerned with linear control systems on time scales. We show that, under appropriate hypotheses, the self-accessible trajectories have diameter greater than or equal to a certain fixed positive number.
References
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Additional Information
  • Hernán R. Henríquez
  • Affiliation: Departamento de Matemática, Universidad de Santiago, USACH, Casilla 307, Correo 2, Santiago, Chile
  • Email: hernan.henriquez@usach.cl
  • Jaqueline G. Mesquita
  • Affiliation: Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Asa Norte 70910-900, Brasília-DF, Brazil
  • MR Author ID: 940198
  • Email: jgmesquita@unb.br
  • Received by editor(s): April 24, 2017
  • Published electronically: October 10, 2017
  • Additional Notes: The first author was supported in part by CONICYT under grant FONDECYT 1130144 and DICYT-USACH
    The second author was supported by FAPESP grant 2013/17104-3 and FAPESP grant 2014/15250-5.
  • Communicated by: Mourad Ismail
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 1257-1269
  • MSC (2010): Primary 93B05; Secondary 34N05
  • DOI: https://doi.org/10.1090/proc/13853
  • MathSciNet review: 3750237