Stability Preservation of Frequency-Limited Balancing Based Reduced Order Model of Large Scale Index-1 Descriptor System

This paper discusses on the stability preservation technique of the frequency limited balanced reduced order model of a class of large-scale sparse descriptor system. For this purpose, firstly we modify standard rational Krylov subsapce method (RKSM) for solving frequency-limited Lyapunov equation pair to find out low-rank Gramian factors what is necessary to apply in balanced truncation technique. Next, we construct two projector matrices, and project the balanced unstable reduced system matrices found after implementing balanced truncation technique to ensure stability. Several data of index-1 descriptor system models are nominated for numerical experiments to demonstrate the efficiency of the proposed technique.