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Self-accessible states for linear systems on time scales


Authors: Hernán R. Henríquez and Jaqueline G. Mesquita
Journal: Proc. Amer. Math. Soc.
MSC (2010): Primary 93B05; Secondary 34N05
DOI: https://doi.org/10.1090/proc/13853
Published electronically: October 10, 2017
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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.


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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
Email: jgmesquita@unb.br

DOI: https://doi.org/10.1090/proc/13853
Keywords: Dynamic equations on time scales, abstract Cauchy problem on time scales, control systems on time scales, controllability, self-accessible states.
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
Article copyright: © Copyright 2017 American Mathematical Society