Passivity preserving model reduction via interpolation of spectral zeros
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Publication:2504532
DOI10.1016/j.sysconle.2004.07.006zbMath1129.93340OpenAlexW1968780839MaRDI QIDQ2504532
Publication date: 25 September 2006
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1911/101994
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Uses Software
Cites Work
- Unnamed Item
- Solving the algebraic Riccati equation with the matrix sign function
- Fast projection methods for minimal design problems in linear system theory
- A multishift algorithm for the numerical solution of algebraic Riccati equations
- Eigenvalue-based characterization and test for positive realness of scalar transfer functions
- A Hamiltonian $QR$ Algorithm
- A Schur method for solving algebraic Riccati equations
- Balanced Parametrization of Classes of Linear Systems
- Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
- ARPACK Users' Guide
- A Survey of Model Reduction by Balanced Truncation and Some New Results
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