Stability of semilinear discrete inclusions in a Hilbert space

Michael Gil’

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.

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Published: 2019-09-06

How to Cite this Article:

Michael Gil’, Stability of semilinear discrete inclusions in a Hilbert space, Eng. Math. Lett., 2019 (2019), Article ID 13

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.

Engineering Mathematics Letters

ISSN 2049-9337

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