Refined Study on Structural Controllability of Descriptor Systems by Means of Matroids
Kazuo Murota · SIAM Journal on Control and Optimization · 1987
For a dynamical system described in the descriptor form ${{Fd{\bf x}} / {dt = A{\bf x} + B{\bf u}}}$, where the coefficients are classified into generic parameters and fixed constants, the structural controllability is investigated under a physically reasonable assumption that can be justified by the dimensional analysis. A necessary and sufficient condition for the structural controllability is given in matroid-theoretic terms; the condition can be tested by efficient algorithms for the matroid union/intersection problem.