Maximally reduced observers for linear time varying DAEs

The problem of observer design for descriptor systems, or systems of differential algebraic equations (DAEs) as they are also known, has been studied in the linear time invariant case. However, those studies do not readily extend to general linear time varying descriptor systems. Recently there have been new theoretical results and algorithms for computing completions of DAEs. In this paper we examine the application of these ideas to the computation of reduced order observers for linear time invariant and linear time varying DAEs.