Abstract | ||
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This paper considers the relative/multiplicative model reduction for unstable and non-minimum-phase systems using generalized frequency-weighted normal representations. The proposed method only requires solving two Lyapunov equations with possibly indefinite solutions, and preserves the number of unstable poles (and the number of zeros in the square case). Furthermore, a priori L∞-norm error bounds are also derived for the relative approximation error and the multiplicative approximation error. |
Year | DOI | Venue |
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1995 | 10.1016/0005-1098(95)00027-T | Automatica |
Keywords | Field | DocType |
Model reduction,relative error,multiplicative error,unstable systems,non-minimum-phase systems,error bounds,Riccati equations | Lyapunov function,Mathematical optimization,Multiplicative model,Multiplicative function,Control theory,A priori and a posteriori,Riccati equation,Mathematics,Approximation error,Minimum phase | Journal |
Volume | Issue | ISSN |
31 | 8 | 0005-1098 |
Citations | PageRank | References |
2 | 0.72 | 1 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Kemin Zhou | 1 | 372 | 59.31 |