希尔伯特空间中半线性离散包涵的稳定性

Engineering Mathematics Letters Pub Date : 2019-06-09 DOI:10.28919/eml/4222

M. Gil'

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引用次数: 0

摘要

本文考虑Hilbert空间中的一类半线性离散(差分)包含。众所周知，特别是离散内含物，是离散时间切换系统的数学模型。对于考虑的内含物，我们建议明确的指数稳定性条件。即使在有限维的情况下，我们的结果也是新的。给出了一个说明性实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability of semilinear discrete inclusions in a Hilbert space

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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Engineering Mathematics Letters

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