论文标题
线性动力学系统的低调和缩写概念
Hypocoercivity and hypocontractivity concepts for linear dynamical systems
论文作者
论文摘要
对于线性动力学系统（在连续时间和离散时间）中，我们重新访问和扩展了低核心和低扣取率的概念，并分别将这些概念与（渐近）稳定性以及（半）消散性和（半）合同的关系进行详细分析。基于这些结果，分别（移动的）低调指数和（缩放的）低取结率指数的传播器规范对于线性连续时间和离散时间系统的短期行为的特征。
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.
