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 Prof. Dr., A., Müller Dr. rer. nat., M., 2005. Time-varying linear systems: relative degree and normal form. Preprint /  Technische Universität Ilmenau, Institut für Mathematik, Preprint /  Technische Universität Ilmenau, Institut für Mathematik 05–15.
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