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Riesz Bases Of Port-Hamiltonian Systems
- Source :
- SIAM journal on control and optimization, 59(6), 4646-4665. Society for Industrial and Applied Mathematics Publications, arXiv, 2020:2009.08521. Cornell University Library
- Publication Year :
- 2021
-
Abstract
- The location of the spectrum and the Riesz basis property of well-posed homogeneous infinite-dimensional linear port-Hamiltonian systems on a one-dimensional spatial domain are studied. It is shown that the Riesz basis property is equivalent to the fact that the 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 each having a uniform gap.
- Subjects :
- Control and Optimization
math.OC
Riesz spectral operator
Applied Mathematics
math.SP
35P10, 47B06, 47D06, 35L40
infinite-dimensional linear port-Hamiltonian system
math.FA
strongly continuous group
35L40
Functional Analysis (math.FA)
Mathematics - Functional Analysis
Mathematics - Spectral Theory
35P10
Optimization and Control (math.OC)
FOS: Mathematics
47B06
47D06
Spectral Theory (math.SP)
Mathematics - Optimization and Control
Subjects
Details
- Language :
- English
- ISSN :
- 03630129
- Database :
- OpenAIRE
- Journal :
- SIAM journal on control and optimization, 59(6), 4646-4665. Society for Industrial and Applied Mathematics Publications, arXiv, 2020:2009.08521. Cornell University Library
- Accession number :
- edsair.doi.dedup.....aa2585aca875d07623c8e242656ad14e