Abstract
When a bilinear system has an input matrix that has rank of one, bilinear controllability can be expressed in terms of the controllability and observability of an associated linear system, defined by the rank-one decomposition. Bilinear controllability also requires a greatest common divisor (GCD) condition to hold. We show in the absence of the GCD condition that the system is nearly controllable, i.e., controllable except for a set of Lebesgue measure zero. The presence of sparsity in the system dynamics structure then motivates a new definition of bilinear controllability in which initial and final conditions must satisfy certain combinations of non-zero state values.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call