# Effect of linear lumping on controllability and observability

Source: [Effect of linear lumping on controllability and observability](<https://www.sota2.com/research/paper/68fa4dd01e209131ce957377>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:06.778Z

Authors: Zs\\'ofia Horv\\'ath

Published: 2008-03-21T09:41:52.000Z

## Abstract

The effect of linear lumping, linear transformation to reduce the number of state variables on controllability and observability of linear differential equations has been studied. Controllability of the original system implies the controllability of the lumped system. Examples taken from reaction kinetics illustrate our results.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0803.3133>)

[PDF](<https://arxiv.org/pdf/0803.3133.pdf>)