模型降阶中的Lyapunov方程求解方法

Solving Lyapunov Equation in Model Order Reduction

提出了一种综合使用PRIMA(Passive Reduced-Order Interconnect Macromodeling Algorithm)和Low-RankSmith算法来处理模型降阶问题,该算法能够很好的求解Lyapunov方程的低秩近似解.使用本算法处理模型降阶中的平衡截断法产生的Lyapunov方程时,可以平衡误差与精度,使得平衡截断法在大规模系统中得以运用.

The paper presents a method based on PRIMA （Passive Reduced-Order Interconnect Macromodeling Algorithm） and Low-Rank Smith, which generates a low-rank approximation to the solution P of the Lyapunov equation. This method can be used to solve the Lyapunov equations generated by Balance Truncation for MOR （model order reduction） with tradeoff computation and accuracy, so balance truncation can be applied to high order system.