Curtain, R. F. and Sasane, Amol 
ORCID: 0000-0001-5566-9877
(2002)
Explicit formulae for J-spectral factors for regular linear systems.
In: Proceedings of the 15th International Symposium on Mathematical Theory of Networks and Systems, 2002-08-12 - 2002-08-16, Notre Dame, United States, USA.
(Submitted)
Abstract
The standard way to obtain explicit formulas for spectral factorization problems for rational transfer functions is to use a minimal realization and then obtain formulae in terms of the generators A, B, C and D. For well-posed linear systems with unbounded generators these formulae will not always be well-defined. Instead, we suggest another approach for the class of well-posed linear systems for which zero is in the resolvent set of A. Such a system is related to a reciprocal system having bounded generating operators depending on B, C, D and the inverse of A. There are nice connections between well-posed linear systems and their reciprocal systems which allow us to translate a factorization problem for the well-posed linear system into one for its reciprocal system, the latter having bounded generating operators. We illustrate this general approach by giving explicit solutions to the sub-optimal Nehari problem.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Official URL: | http://www.nd.edu/~mtns/ |
| Additional Information: | © 2002 The Authors |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 07 Feb 2012 16:54 |
| Last Modified: | 12 Dec 2024 04:39 |
| URI: | http://eprints.lse.ac.uk/id/eprint/9735 |
Actions (login required)
 |
View Item |
