Hypocoercivity and controllability in linear semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations
Hypocoercivity and controllability in linear semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations
复制标题
线性半耗散哈密顿常微分方程和微分代数方程的低矫顽力和可控性
DOI：
10.1002/zamm.202100171
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
V. Mehrmann
中科院分区：
文献类型：
--
作者：
F. Achleitner;A. Arnold;V. Mehrmann
对于有限维线性时不变半耗散Hamilton常微分方程和常系数微分代数方程，讨论了稳定性和hypovervivity，并与控制理论的概念相关。在阶梯形式的基础上，描述了这些发展方程的解的行为，并将其与次幂指数联系起来。结果被应用到两个无限维流问题。
For the classes of finite‐dimensional linear time‐invariant semi‐dissipative Hamiltonian ordinary differential equations and differential‐algebraic equations with constant coefficients, stability and hypocoercivity are discussed and related to concepts from control theory. On the basis of staircase forms, the solution behavior is characterized and connected to the hypocoercivity index of these evolution equations. The results are applied to two infinite‐dimensional flow problems.
影响因子：
1
作者：
Achleitner, Franz;Arnold, Anton;Carlen, Eric A.
通讯作者：
Carlen, Eric A.