A Minimal State Map for Strictly Lossless Positive Real BehaviorsRao, S., Jul-2012, In : IEEE Transactions on Automatic Control. 57, 7, p. 1696-1708 13 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||13|
|Journal||IEEE Transactions on Automatic Control|
|Publication status||Published - Jul-2012|
- Behavioral systems theory, Cauer synthesis, image representation, lossless electrical networks, lossless positive real transfer functions, quadratic differential forms, SYSTEMS, SPACE