Computation of minimal-order realizations of generalized state-space systems
In this paper we consider the problem of obtaining minimal-order representations of generalized state-space systems described by equations of the form Ex(t)=Ax(t)+Bu(t), y(t)=Cx(t)+Du(t) with E singular and det(sE-A)≠0. The underlying principle is that of removal of impulsive and exponential uncontrollable and unobservable modes. When this is followed by the removal of the remaining impulsive modes, we get a minimal-order generalized or standard state-space representation. Simple reduction procedures and numerical algorithms based on these principles are developed and illustrated by means of two numerical examples. © 1989 Birkhäuser.
& Patel, R.
(1989). Computation of minimal-order realizations of generalized state-space systems. Circuits, Systems, and Signal Processing, 8, 49-70.