Invariant Theory, the Riccati Group, and Linear Control Problems

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/645 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/645 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/645 archive 351 disk0/00/00/06/25 2016-01-15 01:43:41 2021-08-27 17:08:27 2016-01-15 01:43:41 monograph show 2 Casti J.L. 974 Invariant Theory, the Riccati Group, and Linear Control Problems pub iis_met prog_sds The classical algebraic theory of invariants is applied to the linear-quadratic-gaussian (LQG) control problem to derive a canonical form under a certain matrix transformation group. The particular group of transformations, termed here the "Riccati group," is induced from the matrix Riccati equation characterizing the LQG problem solution. Examples of the invariant-theoretic approach are given along with a discussion of topics meriting further study, including geometric interpretation of the group orbits, extension of the Riccati group, and connections with the generalized X-Y functions. 1976-07 published RM-76-059 RM-76-059 10 1179 public research_memorandum IIASA, Laxenburg, Austria 28 FALSE info:eu-repo/semantics/book