A behavioural approach to timevarying linear systems

Ilchmann, Achim GND; Mehrmann, Volker

We develop a behavioural approach to linear, time-varying, differential algebraic systems. The analysis is "almost everywhere" in the sense that the statements hold on R T, where T is a discrete set. Controllability, observability and autonomy is introduced and related to the behaviour of the system. Classical results on the behaviour of time-invariant systems are studied in the context of time-varying systems.

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Ilchmann, Achim / Mehrmann, Volker: A behavioural approach to timevarying linear systems. 2004.

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