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: 2014-06-30
Authors : William La Cruz;
Page : 7-23
Keywords : model reduction; Lyapunov equation; compartmental systems;
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.
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