Descriptor realizations of autoregressive representations

Realizations of Hexagonal Graph Representations

Geometric Realizations of Representations of Finite Length

Let G = H × R be a semidirect product Lie group. We reduce the problem of deciding which indecomposable representations of G may be realized in subquotients of spaces of sections of vector bundles over infinitesimal neighborhoods of orbits of H in the dual of R, to a problem involving only representations of the H-stabilizers of the orbits.

On computing minimal realizations of periodic descriptor systems

We propose computationally efficient and numerically reliable algorithms to compute minimal realizations of periodic descriptor systems. The main computational tool employed for the structural analysis of periodic descriptor systems (i.e., reachability and observability) is the orthogonal reduction of periodic matrix pairs to Kronecker-like forms. Specializations of a general reduction algorith...

Realizations of behavior for generalized chain-scattering representations

This paper introduces a notion of realization of behavior which is shown to be a generalization of the classical concept of a realization of transfer function. By using this approach, the input-output structures of the generalized chain-scattering representations (GCSRs) and the dual generalized chain-scattering representations (DGCSRs) are investigated in a behavioral theory context. Subsequen...

Realizations and representations of Thai tones in monomoraic syllables

This study investigates the phonetic realizations of Thai tones in monomoraic syllables produced with three different speeds. The results do not support previous claim that tones in monomoraic syllables are neutralized to mid, and lend support to a phonological representation in which the mora is associated to either H or no tone at all. In normal speech, a /H/ vs. / / opposition is found. In s...