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Engineering Mathematics Letters ISSN 2049-9337

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Eng. Math. Lett. 2019 (2019), Article ID 13

Stability of semilinear discrete inclusions in a Hilbert space

Michael Gil’

PDF (155.9 KB) https://doi.org/10.28919/eml/4222

Abstract

In this paper we consider a class of semilinear discrete (difference) inclusions in a Hilbert space. As is well-known, the discrete inclusions, in particular, are mathematical models of discrete-time switched systems. For the considered inclusions we suggest explicit exponential stability conditions. Our results are new even in the finite-dimensional case. An illustrative example is given.

Published
6 September 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 Michael Gil’. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Gil’, Stability of semilinear discrete inclusions in a Hilbert space, Eng. Math. Lett. 2019 (2019), 13. https://doi.org/10.28919/eml/4222

BibTeX
@article{Gil’2019,
  author  = {Gil’, Michael},
  title   = {Stability of semilinear discrete inclusions in a Hilbert space},
  journal = {Eng. Math. Lett.},
  volume  = {2019},
  year    = {2019},
  pages   = {13},
  doi     = {10.28919/eml/4222}
}