L<sub>1</sub> impulse response error bound for balanced truncation

Lam, J.; Anderson, B. D.O.

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L<sub>1</sub> impulse response error bound for balanced truncation

Date

1992

Authors

Lam, J.

Anderson, B. D.O.

Abstract

This paper presents an upper bound in L1 for the impulse response error between a system and its balanced truncation. It is an a priori bound and can be computed easily. Numerical examples are used to illustrate its applications and to compare with other available error bounds.