Connecting network graph structure to linear-system zero structure


Abstract:

We examine linear network dynamics in which an input can be applied at only one network component and measurements can only be made at one (in general different) component. The infinite-zero- and finite-invariant-zero-structure of these dynamics are characterized explicitly in terms of the network's graph matrix, using the special coordinate basis for linear system. These algebraic characterizations are then used to identify relationships between features of the network's graph topology and the state matrix of its finite zero dynamics. © 2013 AACC American Automatic Control Council.

Año de publicación:

2013

Keywords:

    Fuente:

    scopusscopus

    Tipo de documento:

    Conference Object

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Optimización matemática
    • Teoría de grafos

    Áreas temáticas:

    • Ciencias de la computación