HELMKE, U (1993) BALANCED REALIZATIONS FOR LINEAR-SYSTEMS - A VARIATIONAL APPROACH. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 31 (1). pp. 1-15. ISSN 0363-0129,
Full text not available from this repository.Abstract
This paper develops a new geometric approach to balanced realizations, which enables balanced realizations for arbitrary linear systems to be defined and studied. For an arbitrary (unitarily invariant) strictly plurisubharmonic function on the set of realizations of a given transfer function, the class of realizations is considered that minimizes the function. Based on results from invariant theory and complex analysis, a general theorem on the existence and uniqueness properties of such function-minimizing realizations is derived. If the function is the sum of the traces of the controllability and observability gramians, the usual class of balanced realizations is obtained. Other choices of functions yield different, new classes of function-minimizing realizations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MODEL-REDUCTION; DIGITAL-FILTERS; ROUNDOFF NOISE; INVARIANTS; BALANCED REALIZATIONS; LINEAR SYSTEMS; NORM MINIMIZATION; INVARIANT THEORY |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/54219 |
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