abstract 11

Bulletin of Computational Applied Mathematics (Bull CompAMa)

11

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

William La Cruz

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.

Keywords: model reduction; Lyapunov equation; compartmental systems.

Cite this paper:

La Cruz W., A residual approach for Balanced Truncation Model Reduction of compartmental systems,

Bull. Comput. Appl. Math. (Bull CompAMa),

Vol. 2, No. 1, Jan-Jun, pp.7-23, 2014