A computationally effective time-restricted stability preserving H2-optimal model order reduction approach

A computationally effective time-restricted stability preserving H2-optimal model order reduction approach

Blog Article

Several approaches for reducing model order on the definite time segments have become the topic of investigation in a series of papers that bring challenges during application in a large-scale setting.The subject of discussion of this Car Chargers paper is the computationally efficient time-restricted H2-optimal model order reduction method of higher dimensional sparse systems that requires the solutions of time-restricted Lyapunov and Sylvester equations.Our discussion is on developing the algorithms to solve these matrix equations that face difficulty when calculating the matrix exponential of the large-scale matrices.As a result, an efficient remedy is also proposed to compute the matrix exponential.

Our ideas are also evaluated for index-1 descriptor systems apart from the generalized structure.Numerical Anti-Vibration Mount analyses are conducted on several benchmark examples to illustrate how accurate and efficient our suggested approaches are by comparing them with the existing methods.