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A Residual Approach for Balanced Truncation Model Reduction (BTMR) of Compartmental Systems

Journal: Bulletin of Computational Applied Mathematics (Bull CompAMa) (Vol.2, No. 1)

Publication Date:

Authors : ;

Page : 7-23

Keywords : model reduction; Lyapunov equation; compartmental systems;

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Abstract

This paper presents a residual approach of the square root balanced truncation algorithm for model order reduction of continuous, linear and time-invariante compartmental systems. Specifically, the new approach uses a residual method to approximate the controllability and observability gramians, whose resolution is an essential step of the square root balanced truncation algorithm, that requires a great computational cost. Numerical experiences are included to highlight the efficacy of the proposed approach.

Last modified: 2018-08-05 10:36:09