Acoustic wave guides as infinite-dimensional dynamical systems
DOI10.1051/cocv/2014019zbMath1316.35165arXiv1211.7000OpenAlexW3021078424WikidataQ110234074 ScholiaQ110234074MaRDI QIDQ5250286
Teemu Lukkari, Atte Aalto, Jarmo Malinen
Publication date: 19 May 2015
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.7000
Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) Hydro- and aero-acoustics (76Q05) Applications of operator theory in systems, signals, circuits, and control theory (47N70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The damped string problem revisited
- Decay of solutions of wave equations in a bounded region with boundary dissipation
- Conservative boundary control systems
- Interconnection of port-Hamiltonian systems and composition of Dirac structures
- Dirac structures and their composition on Hilbert spaces
- Impedance passive and conservative boundary control systems
- Non homogeneous boundary value problems for second order hyperbolic operators
- Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems
- Wave equation on a bounded domain with boundary dissipation: An operator approach
- Exponential decay of energy of vibrating strings with local viscoelasticity
- Compositions of passive boundary control systems
- A posteriori error estimates for Webster's equation in wave propagation
- A numerical comparison between the multiple-scales and finite-element solution for sound propagation in lined flow ducts
- When is a linear system conservative?
- Infinite Dimensional Linear Systems With Unbounded Control and Observation: A Functional Analytic Approach
- Exact Controllability, Stabilization and Perturbations for Distributed Systems
- Realization theory in Hilbert space
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- Sound transmission in slowly varying circular and annular lined ducts with flow
- How to get a conservative well-posed linear system out of thin air. Part I. Well-posedness and energy balance
- How to Get a Conservative Well-Posed Linear System Out of Thin Air. Part II. Controllability and Stability
- Acoustic propagation in ducts with varying cross sections
- Webster's Horn Equation Revisited
- Complete Solutions of the “Webster” Horn Equation
- Boundary Control Systems
- Applications of Matched Asymptotic Expansion Methods to Acoustics. I. The Webster Horn Equation and the Stepped Duct
- Applications of Matched Asymptotic Expansion Methods to Acoustics. II. The Open-Ended Duct
- Convergence of spectra of mesoscopic systems collapsing onto a graph
- Variational problems on multiply connected thin strips. I: Basic estimates and convergence of the Laplacian spectrum
This page was built for publication: Acoustic wave guides as infinite-dimensional dynamical systems
