Graph Theoretic Methods in the Study of Structural Controllability over F(z)
Yu-Peng Yuan, Lifeng Liu, An-Hu · International Conference on Electric Information and Control Engineering · 2012
In this paper, the physical system whose coefficient matrix A is a canonical form A=(C+V)^-1U or A=C+D over F(z) is studied. Some conditions of structural controllability of these system based on graph theorem are derived. (1) If the associated graph G(A) of A is strongly connected and B ? 0 is not vanish, (A, B) is structural controllability. (2) If there exist a out (in) tree T with the root v, ? v epsilon V in the associated graph G(A) and T is a spanning tree, B ? 0, (A,B) is structural controllability. (3) If v0 ? V in the associated graph G (A), exist a out tree T1 and in tree T2 with the root v0. T1, T2 is a spanning tree, B ? 0 (A,B) is structural controllability.