Lam, J.Anderson, B. D.O.2026-01-022026-01-020167-6911ORCID:/0000-0002-1493-4774/work/174739841https://hdl.handle.net/1885/733803005This 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.9enBalanced truncationHankel singular valuesimpulse responseL-normmodel reduction199210.1016/0167-6911(92)90017-M0026817718