A behavioural approach to linear time-varying descriptor systems

Ilchmann, Achim; Mehrmann, Volker

We introduce a behavioural approach to linear, time-varying, differential algebraic (descriptor) systems. The analysis is `"almost global'' in the sense that the analysis is not restricted to an interval $\mathbb I \subset \mathbb \R$ but is allowed for the `"time axis'' $\mathbb R \backslash \mathbb T$, where $\mathbb T$ is a discrete set of critical points, at which the solution may exhibit a finite escape time. Controllable, observable, autonomous,and adjoint behaviour for linear time-varying descriptor systems is introduced and characterized.

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Ilchmann, Achim / Mehrmann, Volker: A behavioural approach to linear time-varying descriptor systems. 2004.

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