The generalized hessenberg representation and near aggregation

✍ Scribed by D.K. Lindner; W.R. Perkins

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 297 KB
• Volume: 24
• Category: Article
• ISSN: 0005-1098
• DOI: 10.1016/0005-1098(88)90037-4

✦ Synopsis

Using the Generalized Hessenberg Representation (GHR) the concept of aggregation is extended to systems which nearly aggregate. Near aggregation is given a geometric interpretation. Then near unobservability (defined as an invariant subspace near the null space of C) is introduced and is shown to be equivalent to near aggregation if there exists an appropriately dimensioned invaxiant subspace. These results depend on the introduction of a topology into the state space, a novel feature of our approach. Finally, near aggregation is shown to correspond to almost pole-zero cancellation for a certain class of systems.