Linear differential algebraic equations and observers

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Abstract

Observers play an important role in the control of linear systems. Given the importance of DAE models, it is natural that there has been considerable interest in designing and using observers for DAEs. The first part of this paper surveys some aspects of DAEs and observers that lay the foundation for the second part which discusses a recent general approach to observer design for linear DAEs using completions. This approach also holds great promise for nonlinear DAEs.

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Bobinyec, K. S., & Campbell, S. L. (2015). Linear differential algebraic equations and observers. In Surveys in Differential-Algebraic Equations II (pp. 1–67). Springer International Publishing. https://doi.org/10.1007/978-3-319-11050-9_1

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