Stability of the multidimensional wave equation in port-Hamiltonian modelling

Jacob, Birgit; Skrepek, Nathanael

doi:10.1109/cdc45484.2021.9683501

2021 60th IEEE Conference on Decision and Control (CDC) 2021

DOI: 10.1109/cdc45484.2021.9683501

|View full text |Cite

Stability of the multidimensional wave equation in port-Hamiltonian modelling

Birgit Jacob

Nathanael Skrepek

Help me understand this report

View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Stability via closure relations with applications to dissipative and port-Hamiltonian systems

Glück,

Jacob,

Meyer

et al. 2024

J. Evol. Equ.

View full text Add to dashboard Cite

We consider differential operators A that can be represented by means of a so-called closure relation in terms of a simpler operator $$A_{{\text {ext}}}$$ A ext defined on a larger space. We analyse how the spectral properties of A and $$A_{{\text {ext}}}$$ A ext are related and give sufficient conditions for exponential stability of the semigroup generated by A in terms of the semigroup generated by $$A_{{\text {ext}}}$$ A ext . As applications we study the long-term behaviour of a coupled wave–heat system on an interval, parabolic equations on bounded domains that are coupled by matrix-valued potentials, and of linear infinite-dimensional port-Hamiltonian systems with dissipation on an interval.

show abstract

Stability via closure relations with applications to dissipative and port-Hamiltonian systems

Glück,

Jacob,

Meyer

et al. 2024

J. Evol. Equ.

View full text Add to dashboard Cite

show abstract

Stochastic Galerkin method and port-Hamiltonian form for linear dynamical systems of second order

Pulch

2024

Mathematics and Computers in Simulation

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Stability of the multidimensional wave equation in port-Hamiltonian modelling

Cited by 2 publications

References 29 publications

Stability via closure relations with applications to dissipative and port-Hamiltonian systems

Stability via closure relations with applications to dissipative and port-Hamiltonian systems

Stochastic Galerkin method and port-Hamiltonian form for linear dynamical systems of second order

Contact Info

Product

Resources

About