Hilbert空间中隐式微分系统的指数稳定性

IF 0.7 Q2 MATHEMATICS

International Journal of Analysis and Applications Pub Date : 2023-06-16 DOI:10.28924/2291-8639-21-2023-54

N. Beghersa, M. Benabdallah, Mohamed Hariri

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引用次数: 0

摘要

本文的目的是研究平稳隐式系统Ax ' (t) + Bx(t) = 0的指数稳定性，其中A和B是Hilbert空间中的有界算子。所得结果推广了λA + b算子谱的Liapounov定理，并建立了相应的摄动和拟线性隐式系统的指数稳定性条件。

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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On the Exponential Stability of the Implicit Differential Systems in Hilbert Spaces

The aim of this research is to study the exponential stability of the stationary implicit system: Ax’(t) + Bx(t) = 0, where A and B are bounded operators in Hilbert spaces. The achieved results are the generalization of Liapounov Theorem for the spectrum of the operator pencil λA + B. We also establish the exponential stability conditions for the corresponding perturbed and quasi-linear implicit systems.

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来源期刊

International Journal of Analysis and Applications MATHEMATICS-

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

12 weeks