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Time Domain Description of Linear Systems

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Introduction to Mathematical Systems Theory

Part of the book series: Texts in Applied Mathematics ((TAM,volume 26))

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Abstract

In Chapter 2 we studied behaviors described by equations of the form \( R(\frac{d}{{dt}})w = 0 \) . We obtained fundamental properties such as linearity, time-invariance, and the like, as well as the relation between the behavior and its representations. What we did not do, however, is pay attention to what the trajectories in the behavior, the weak solutions of \( R(\frac{d}{{dt}})w = 0 \), actually look like.

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© 1998 Springer Science+Business Media New York

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Polderman, J.W., Willems, J.C. (1998). Time Domain Description of Linear Systems. In: Introduction to Mathematical Systems Theory. Texts in Applied Mathematics, vol 26. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2953-5_3

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  • DOI: https://doi.org/10.1007/978-1-4757-2953-5_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-2955-9

  • Online ISBN: 978-1-4757-2953-5

  • eBook Packages: Springer Book Archive

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