论文标题
哈米尔顿港系统的Riesz基地
Riesz bases of port-Hamiltonian systems
论文作者
论文摘要
研究了频谱的位置和Riesz基础属性的位置在1D空间结构域上均匀的同质无限二维线性港口系统的位置。结果表明，Riesz基础属性等于系统操作员生成一个强连续的组。此外，在这种情况下，频谱仅由位于与虚轴平行的带状剥离值组成，它们可以分解为有限的许多设置，每个集合都有一个均匀的间隙。
The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a 1D spatial domain are studied. It is shown that the Riesz basis property is equivalent to the fact that system operator generates a strongly continuous group. Moreover, in this situation the spectrum consists of eigenvalues only, located in a strip parallel to the imaginary axis and they can decomposed into finitely many sets having each a uniform gap.
