Kj. Reinschke et G. Wiedemann, DIGRAPH CHARACTERIZATION OF STRUCTURAL CONTROLLABILITY FOR LINEAR DESCRIPTOR SYSTEMS, Linear algebra and its applications, 266, 1997, pp. 199-217
For linear descriptor systems of the form E(x) over dot = Ax + Bu, the
different kinds of controllability are analyzed by graph-theoretic me
ans. Starting from known algebraic criteria, digraph conditions for st
ructural r-controllability, structural impulse controllability, and st
ructural complete controllability are derived. A nontrivial electrical
example system illustrates the application of the results. (C) 1997 E
lsevier Science Inc.