Abstract
In this paper, behaviors with equal input and output cardinalities and with lossless positive real transfer functions corresponding to certain input-output partitions are considered. Based on Cauer synthesis method, an algorithm to obtain a minimal state map of such behaviors starting from an observable image representation is given. This algorithm makes use of polynomial algebraic methods to arrive at a minimal state map. It is shown that the algorithm has application in synthesis and analysis of lossless electrical networks.
| Original language | English |
|---|---|
| Pages (from-to) | 1696-1708 |
| Number of pages | 13 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 57 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - Jul-2012 |
Keywords
- Behavioral systems theory
- Cauer synthesis
- image representation
- lossless electrical networks
- lossless positive real transfer functions
- quadratic differential forms
- SYSTEMS
- SPACE
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