Basis of invariants and canonical forms for linear dynamic systems

✍ Scribed by J. Rissanen

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 734 KB
• Volume: 10
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(74)90022-3

✦ Synopsis

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 finite order constant linear systems. The parameters are interpreted as independent invariants for the equivalence relation which defines two systems to be equivalent when they have the same impulse response. Two kinds of canonical representations of the systems are construtted from the invariants, one of the state-space equations type and the other of the transfer function type.

* This seems to be a fairly difficult estimation problem for which the maximum likelihood technique does not appe~to be immediately applicable.