The minimal realization theory for input-output map8 that arise from finitedimensional, continuous time, bilinear systems is discussed. It is shown that an observed bilinear system (i.e. a bilinear system together with an observation functional, but without a Jixed initial state) is completely deter
Canonical forms for bilinear systems
โ Scribed by H.T. Dorissen
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 452 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0167-6911
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For the set of linear dynamic systems with a given number of inputs and outputs, a complete set of independent invariants may be constructed and used to create state space and transfer function canonical forms. Snmmary--This paper is a study of the problem of how to parametfize the set of all finit
## Abstract Every compact symmetric bilinear form __B__ on a complex Hilbert space produces, via an antilinear representing operator, a real spectrum consisting of a sequence decreasing to zero. We show that the most natural analog of Courant's minimax principle for __B__ detects only the evenly in