- Title
- Mappings of the finite and infinite zero structures and invertibility structures of general linear multivariable systems under the bilinear transformation
- Creator
- Chen, Ben M.; Weller, Steven R.
- Relation
- Automatica Vol. 34, Issue 1, p. 111-124
- Publisher Link
- http://dx.doi.org/10.1016/S0005-1098(97)00187-8
- Publisher
- Elsevier Science Ltd.
- Resource Type
- journal article
- Date
- 1998
- Description
- This paper presents a comprehensive picture of the mapping of structural properties associated with general linear multivariable systems under bilinear transformation. While the mapping of poles of linear multivariable systems under such a transformation is well known, the question of how the structural invariant properties of a given system are mapped remains unanswered. This paper addresses this question. More specifically, we investigate how the finite and infinite zero structures, as well as invertibility structures, of a general continuous-time (discrete-time) linear time-invariant multivariable system are mapped to those of its discrete-time (continuous-time) counterpart under the bilinear (inverse bilinear) transformation. We demonstrate that the structural invariant indices lists I₂ and I₃ of Morse remain invariant under the bilinear transformation, while the structural invariant indices lists I₁ and I₄ of Morse are, in general, changed.
- Subject
- linear system theory; continuous-time systems; discrete-time systems; bilinear transformation
- Identifier
- http://hdl.handle.net/1959.13/30744
- Identifier
- uon:2702
- Identifier
- ISSN:0005-1098
- Language
- eng
- Full Text
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