Time-varying linear systems : relative degree and normal form

Ilchmann, Achim GND; Müller, Markus

We define the relative degree of time-varying linear systems, show that it coincides with Isidori's and with Liberzon/Morse/Sontag's definition if the system is understood as a time-invariant nonlinear system, characterize it in terms of the system data and their derivatives, derive a normal form with respect to a time-varying linear coordinate transformation, and finally characterize the zero dynamics.

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Ilchmann, Achim / Müller, Markus: Time-varying linear systems. relative degree and normal form. 2005.

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