Graph-theoretic characterisations of zeros for the input-output dynamics of complex network processes

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-zero structures of these dynamics are characterised explicitly in terms of the network's graph matrix, using the special coordinate basis for linear system. These algebraic characterisations are then used to identify relationships between features of the network's graph topology and the state matrix of its finite zero dynamics. © 2013 © 2013 Taylor & Francis.

Año de publicación:

2014

Keywords:

• Graph-theory
• Synchronisation/diffusion processes
• Special coordinate basis
• Sparse control of networks

Fuente:

scopus