Structure indices for multidimensional systems
Wood, J., Rocha, P., Rogers, E. and Owens, D.H. (2000) Structure indices for multidimensional systems. IMA Journal of Mathematical Control and Information, 17, (3), 227-56.
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Description/Abstract
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.
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| ePrint ID: | 250459 |
| Deposited On: | 20 Oct 2000 |
| Last Modified: | 02 Mar 2012 11:37 |
| Further Information: | Google Scholar |
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