An algorithm is developed for the computation of the transfer function matrix of a two-dimensional system, which is given in its state-space form, without inverting a polynomial matrix. A new transformation has been considered so that the well known Fadeeva's algorithm for regular systems can be use
On the computation of the transfer function matrix of singular systems
β Scribed by P.N. Paraskevopoulos; M.A. Christodoulou
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 453 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
For singular systems, i.e. for systems of the form Ek = Ax + Bu, with E singular, the problem of computing the transfer function matrix has been studied. An algorithm is developed which is similar to the corresponding algorithm proposed by Faddeev or Leverrierfor regular Systems. The present results involve the Drazin inverse and yield an expression for the transfer,function matrix suitable for computer use.
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problem of computing the transfer function matrices for regular and singular discrete two-dimensional general state-space models (2D GM) is discussed, and some programmable algorithms are developed that generalize the well-known Leverrier algorithm to 2D systems of general form. The results also sho
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