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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Ball, J.A. Gohberg, I. |
| Copyright Year | 1989 |
| Description | Author affiliation: Dept. of Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA (Ball, J.A.) |
| Abstract | The authors consider how to express systems (or equivalently, rational matrix functions) as being built up from simpler more elementary systems (or functions). A measure of the complexity of a system is the dimension of the state space or equivalently, if controllability and observability are assumed, the McMillan degree of the associated transfer function. The authors discuss two ways in which simple systems can be connected to form more complicated systems: simple cascade connections and cascade (or fractional) compositions. These are both special cases of a more general composition, which the authors call general cascade composition, which they discuss briefly. Issues of particular interest are when a given system can be decomposed as a product of systems with a one-dimensional state space, the stability of such decompositions relative to small changes in the state-space parameters of the system, and decompositions when the factors inherit some symmetry satisfied by the composite system.< |
| Starting Page | 2 |
| Ending Page | 10 |
| File Size | 533699 |
| Page Count | 9 |
| File Format | |
| DOI | 10.1109/CDC.1989.70063 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1989-12-13 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Linear systems Matrix decomposition State-space methods Transfer functions Stability Mathematics Network synthesis Circuit theory Controllability Observability |
| Content Type | Text |
| Resource Type | Article |
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