Sensitivity analysis of linear systems—a structural approach
作者:
TOMASZM. ROMANOWICZ,
期刊:
International Journal of Systems Science
(Taylor Available online 1987)
卷期:
Volume 18,
issue 1
页码: 91-96
ISSN:0020-7721
年代: 1987
DOI:10.1080/00207728708963951
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
An approach to the sensitivity analysis of systems modelled as a set of linear algebraic equations Ax = b is presented. First- and second-order sensitivities of the system variables to changes in system parameters, i.e. non-zero elements of the matrix A, are derived. Two kinds of parameter perturbation are discussed: single parameter perturbation and perturbations of all the system parameters. A structural approach is applied, consisting in partitioning of the system into a number of irreducible, acyclically interconnected subsystems. This approach reduces the computational effort and yields a qualitative sensitivity assessment; i.e. it is possible to exclude the influence of certain parameters on some variables.
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