Abstract
In this chapter, a behavioral framework of LPV systems is introduced as an extension of the LTI behavioral approach. This is done with the intention to give a unified view on LPV system theory, that enables to approach LPV system identification in a well-founded system theoretic sense. First we define LPV dynamical systems from the behavioral point of view. Then we introduce the algebraic structure in which we formulate kernel, state-space, and input-output representations of LPV systems. We also analyze the properties of LPV systems in terms of state-observability, state-reachability, and dynamic stability.
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© 2010 Springer-Verlag Berlin Heidelberg
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Tóth, R. (2010). LPV Systems and Representations. In: Modeling and Identification of Linear Parameter-Varying Systems. Lecture Notes in Control and Information Sciences, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13812-6_3
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DOI: https://doi.org/10.1007/978-3-642-13812-6_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13811-9
Online ISBN: 978-3-642-13812-6
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