STRUCTURAL CHARACTERIZATIONS OF STABILITY OF SIGNED DIGRAPHS UNDER PULSE PROCESSES.

Abstract

The notion of a pulse process on a signed digraph arose in connection with studies of energy demand and other societal problems. Two notions of stability of a signed digraph D under a pulse process, pulse and value stability, have been characterized in terms of the eigenspace of the transpose of the signed adjacency matrix of D. Conditions for stability stated in terms of the structure of the signed digraph are studied.