A remark on model reduction for singular systems
β Scribed by Chao Liu; Qingling Zhang; Xiaodong Duan
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 157 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0143-2087
- DOI
- 10.1002/oca.799
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## Abstract In this paper, model reduction problem for singular systems will be investigated. To solve the problem, the covariance for singular systems will be defined. Then, a model reduction method based on covariance approximation will be presented for obtaining a stable and impulse controllable
We prove that any first order system, in one space variable, with analytic coefficients depending only on time, is smoothly symmetrizable if and only if it is uniformly symmetrizable. Thus any one of these conditions is sufficient for the well posedness in C .