The Generalized Hessenberg Representation, Near Aggregation, and Near Unobservability.

Abstract

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 in 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 invariant 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. Keywords: Linear systems; Observability; Aggregation.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1987
Accession Number
ADA178129

Entities

People

  • Douglas K. Lindner
  • William R. Perkins

Organizations

  • University of Illinois Urbana–Champaign

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  • Materials and Manufacturing Processes

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  • Buildings And Structures
  • Cancellation
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  • Differential Equations
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  • Illinois
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