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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.
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