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Balanced Truncation via Tangential Interpolation
Umair Zulfiqar, Zhi-Hua Xiao, Qiu-yan Song +1
This paper examines the construction of rth-order truncated balanced realizations via tangential interpolation at r specified interpolation points. It is demonstrated that when the…
Time-limited H2-optimal Model Order Reduction of Linear Systems with Quadratic Outputs
Umair Zulfiqar, Zhi-Hua Xiao, Qiu-Yan Song +2
An important class of dynamical systems with several practical applications is linear systems with quadratic outputs. These models have the same state equation as standard linear t…
-optimal Model Reduction of Linear Quadratic Output Systems in Finite Frequency Range
Umair Zulfiqar, Zhi-Hua Xiao, Qiu-Yan Song +2
In frequency-limited model order reduction, the objective is to maintain the frequency response of the original system within a specified frequency range in the reduced-order model…
Balanced Truncation of Linear Systems with Quadratic Outputs in Limited Time and Frequency Intervals
Qiu-Yan Song, Umair Zulfiqar, Zhi-Hua Xiao +2
Model order reduction involves constructing a reduced-order approximation of a high-order model while retaining its essential characteristics. This reduced-order model serves as a…