Structure indices for multidimensional systems

• Type: Article in International Scientific Journal
• Date: 2000

Authors

Wood, J (Author) Other; Rogers, E (Author) Other; Rocha, P (Author) Other; Owens, DH (Author) Other

Journal

Title: IMA Journal of Mathematical Control and Information

Vol. 17

Pages: 227-256

ISSN: 0265-0754

Publisher: Oxford University Press

Indexing

ISI Web of Knowledge

Scopus - 3 Citations

Other information

Authenticus ID: P-007-989

Abstract (EN): The structure indices of a one-dimensional system are an important set of invariants. In this paper we examine a generalization of this concept to multidimensional linear systems, which corresponds to the algebraic concept of a Hilbert series. We use the standard theory of the Hilbert series to explain some of the previous 1D system-theoretic results. We discuss the computation of nD structure indices from an initial condition set, and the invariants which can be derived from these indices.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 30