In the sequel to [A. Ilchmann and V. Mehrmann, SIAM J. Control Optim., 44 (2005), pp. 1725 - 1747], we discuss a behavioral approach for linear, time-varying, differential algebraic (descriptor) systems with real analytic coeffi. cients. The analysis is " almost global" in the sense that the analysis is not restricted to an interval I subset of R but is allowed for the " time axis" R\T, where T is a discrete set of critical points, at which the solution may exhibit a. finite escape time. Controllable, observable, and autonomous behavior for linear time-varying descriptor systems is characterized.s