线性动力系统的次矫顽力和次压缩性概念

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2022-04-27 DOI:10.13001/ela.2023.7531

F. Achleitner, A. Arnold, V. Mehrmann

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引用次数: 6

摘要

对于线性动力系统（在连续时间和离散时间），我们重新审视和扩展了次过盈性和次压缩性的概念，并分别详细分析了这些概念与（渐近）稳定性、（半）耗散性和（半）收缩性的关系。基于这些结果，线性连续时间系统和离散时间系统的传播子范数的短时行为分别用（移位的）低渗指数和（缩放的）低收缩指数来表征。

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Hypocoercivity and hypocontractivity concepts for linear dynamical systems

For linear dynamical systems (in continuous-time and discrete-time), we revisit and extend the concepts of hypocoercivity and hypocontractivity and give a detailed analysis of the relations of these concepts to (asymptotic) stability, as well as (semi-)dissipativity and (semi-)contractivity, respectively. On the basis of these results, the short-time behavior of the propagator norm for linear continuous-time and discrete-time systems is characterized by the (shifted) hypocoercivity index and the (scaled) hypocontractivity index, respectively.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.