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The stability of linear descriptor systems. (English) Zbl 1138.93403
Summary: In this survey paper, stability of Linear Descriptor Systems (LDS) is investigated. We review here concepts on LDS and a number of results concerning stability properties of LDS. We do not try to be exhaustive but instead, by a selection of results, we would like to motivate the reader to appreciate what we consider as a wonderful research field. We emphasize that this paper also points out the directions of the potential developments.
##### MSC:
 93D20 Asymptotic stability in control theory 93A30 Mathematical modelling of systems (MSC2010) 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 93C05 Linear systems in control theory 93C15 Control/observation systems governed by ordinary differential equations