Minimal system inverses for linear multivariable systems

AbstractThe problem of minimal inverses for linear time invariant multivariable systems is formulated and constructively solved in a state space setting. Unknown initial states as well as zero initial states are considered. The spectrum of the minimal inverse is shown to be unique and constructable from the original system without first calculating the whole inverse. This leads to a simple way of introducing the equivalence of “zeros” in state space terminology