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

IF 0.7 Q2 MATHEMATICS
N. Beghersa, M. Benabdallah, Mohamed Hariri
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引用次数: 0

Abstract

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.
Hilbert空间中隐式微分系统的指数稳定性
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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来源期刊
CiteScore
1.30
自引率
10.00%
发文量
60
审稿时长
12 weeks
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