论文标题
连续LTI系统的扩展平衡：一种具有结构的方法
Extended balancing of continuous LTI systems: a structure-preserving approach
论文作者
论文摘要
在本文中，我们将扩展平衡用于连续的线性时间不变系统，并解决了降低建筑物模型的问题，该模型还原了港口 - 哈米尔顿港系统的子类。我们建立了足够的条件，以确保减少阶模型保留港口哈米尔顿结构。此外，我们表明，可以利用扩展的Gramians的使用来绑定一个小错误，并可能为减少订单模型保留物理解释。
In this paper, we treat extended balancing for continuous-time linear time-invariant systems, and we address the problem of structure-preserving model reduction of the subclass of port-Hamiltonian systems. We establish sufficient conditions to ensure that the reduced-order model preserves a port-Hamiltonian structure. Moreover, we show that the use of extended Gramians can be exploited to get a small error bound and, possibly, to preserve a physical interpretation for the reduced-order model.
