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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Van Breusegem, V. Bastin, G. |
| Copyright Year | 1991 |
| Description | Author affiliation: Center for Syst. Eng. & Appl. Math., Univ. Catholique de Louvain, Belgium (Van Breusegem, V.; Bastin, G.) |
| Abstract | The authors address the problem of the reduction of order of natural mass-balance models which commonly describe the dynamics of reaction systems. This reduction is subordinated to the presence of slow and fast reactions. it is shown that, in natural coordinates, a convenient partition of the state leading to a two-time-scale standard form which allows the order reduction by using the singular perturbation technique does not generally exist. A convenient change of coordinates which is better suited to perform the order reduction is proposed. A systematic method is presented for transforming the natural mass-balance model of reaction systems with slow and fast reactions into the two-time-scale standard form of singular perturbation theory. The theory is illustrated by a prototype example.< |
| Starting Page | 1049 |
| Ending Page | 1054 |
| File Size | 427167 |
| Page Count | 6 |
| File Format | |
| ISBN | 0780304500 |
| DOI | 10.1109/CDC.1991.261484 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1991-12-11 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Biological system modeling Reduced order systems Systems engineering and theory Chemical engineering Biotechnology Environmental factors Transforms Differential equations Mathematical model Design engineering |
| Content Type | Text |
| Resource Type | Article |
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