2012
DOI: 10.1002/cta.1884
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Gramian‐based model order reduction of parameterized time‐delay systems

Abstract: Time-delay systems (TDSs) frequently arise in circuit simulation especially in high-frequency applications. Model order reduction (MOR) techniques can be used to facilitate the simulation of TDSs. On the other hand, many kinds of variations, such as temperature and geometric uncertainties, can have significant impact on the transient responses of TDSs. Therefore, it is important to preserve parametric dependence during the MOR procedure. This paper presents a new parameterized MOR scheme for TDSs with paramete… Show more

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Cited by 4 publications
(8 citation statements)
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“…It has a complexity of O(4n 2 q) where q is the reduced order estimated for the model. But it can be seen that the proposed technique is much more efficient than the Gramian based PMOR for TDS [10] which has a complexity of O(n 3 ). Then we have the computation of the singular values for the common projection matrix which uses an economy-size SVD to improve the computation.…”
Section: Complexitymentioning
confidence: 98%
See 4 more Smart Citations
“…It has a complexity of O(4n 2 q) where q is the reduced order estimated for the model. But it can be seen that the proposed technique is much more efficient than the Gramian based PMOR for TDS [10] which has a complexity of O(n 3 ). Then we have the computation of the singular values for the common projection matrix which uses an economy-size SVD to improve the computation.…”
Section: Complexitymentioning
confidence: 98%
“…The proposed PMOR technique, it is compared with the Gramianbased PMOR [10] which is also based on state-space interpolation.…”
Section: Numerical Examplesmentioning
confidence: 99%
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