Strong Structural Controllability of Signed Networks

Autor: Mousavi, Shima Sadat, Haeri, Mohammad, Mesbahi, Mehran
Rok vydání: 2019
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1109/CDC40024.2019.9030233
Popis: In this paper, we discuss the controllability of a family of linear time-invariant (LTI) networks defined on a signed graph. In this direction, we introduce the notion of positive and negative signed zero forcing sets for the controllability analysis of positive and negative eigenvalues of system matrices with the same sign pattern. A sufficient combinatorial condition that ensures the strong structural controllability of signed networks is then proposed. Moreover, an upper bound on the maximum multiplicity of positive and negative eigenvalues associated with a signed graph is provided.
Databáze: arXiv