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DOE OSTI · 22769232

Regularization and index reduction for linear differential–algebraic systems

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Abstract

In this paper, a necessary and sufficient condition for the existence of a proportional semistate feedback is established such that the closed loop system is regular and of index at most two. The condition is characterized by a rank condition that involves only the original system coefficient matrices. Also, a new rank condition ensuring that a given linear time-invariant descriptor system is regular and of index at most some specific value is also derived. The developed theory is illustrated through physical and numerical examples.

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97 MATHEMATICS AND COMPUTINGALGEBRADIFFERENTIAL EQUATIONSMATRICES

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BibTeXRIS

2018-09-15. Regularization and index reduction for linear differential–algebraic systems. https://doi.org/10.1007/s40314-018-0589-3

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