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On the balanced truncation of LTV systems Mazen Farhood and Geir E. Dullerud Abstract This note furthers results on the balanced truncation of stable linear time-varying discrete-time systems. The main result contributes better error bounds than the currently available ones in certain model reduction scenarios; this is demonstrated in an example of a four-mass translational system. Also, this note gives new finite error bounds for the balanced truncation of stable eventually periodic models. This paper appears in IEEE Transactions on Automatic Control, Volume 51, Issue 2, Pages 315-320, February 2006. Download (full-text) |