Model order reduction for strictly passive and causal distributed systems

This paper presents a class of algorithms suitable for model reduction of distributed systems. Distributed systems are not suitable for treatment by standard model-reduction algorithms such as PRIMA, PVL, and the Arnoldi schemes because they generate matrices that are dependent on frequency (or othe...

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Vydáno v:Annual ACM IEEE Design Automation Conference: Proceedings of the 39th conference on Design automation : New Orleans, Louisiana, USA; 10-14 June 2002 s. 46 - 51
Hlavní autoři: Daniel, Luca, Phillips, Joel
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: New York, NY, USA ACM 10.06.2002
Edice:ACM Conferences
Témata:
Applied sciences
Computing methodologies > Modeling and simulation
Electronics
Exact sciences and technology
Hardware > Hardware validation
Hardware > Hardware validation > Functional verification > Simulation and emulation
Integrated circuits
Integrated circuits by function (including memories and processors)
Mathematics of computing > Mathematical analysis > Functional analysis > Approximation
Mathematics of computing > Mathematical analysis > Numerical analysis > Interpolation
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Theory of computation > Design and analysis of algorithms > Approximation algorithms analysis
distributed systems
passive reduced order modeling
ISBN:1581134614, 9781581134612
ISSN:0738-100X
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Shrnutí:This paper presents a class of algorithms suitable for model reduction of distributed systems. Distributed systems are not suitable for treatment by standard model-reduction algorithms such as PRIMA, PVL, and the Arnoldi schemes because they generate matrices that are dependent on frequency (or other parameters) and cannot be put in a lumped or state-space form. Our algorithms build on well-known projection-based reduction techniques, and so require only matrix-vector product operations and are thus suitable for operation in conjunction with electromagnetic analysis codes that use iterative solution methods and fast-multipole acceleration techniques. Under the condition that the starting systems satisfy system-theoretic properties required of physical systems, the reduced systems can be guaranteed to be passive. For distributed systems, we argue that causality of the underlying representation is as important a consideration.
Bibliografie:SourceType-Conference Papers & Proceedings-1
ObjectType-Conference Paper-1
content type line 25
ISBN:1581134614
9781581134612
ISSN:0738-100X
DOI:10.1145/513918.513932