Sl. Campbell et M. Rakowski, EXPLICIT FORMULAS FOR COMPLETIONS OF LINEAR-TIME VARYING SINGULAR SYSTEMS OF DIFFERENTIAL-EQUATIONS, Circuits, systems, and signal processing, 13(2-3), 1994, pp. 185-199
Completions of linear time varying singular systems of the form E(t)x'
(t) + F(t)x(t) = f(t) are explicitly computed using recent results on
rational matrix functions. The algorithm and the theory behind it are
carefully described. Computational issues are discussed.