Abstract
In this chapter we will extend the class of inputs to include distributions. To do this, we need to give suitable meaning to the notion of initial state in case the input is a distribution. We will do this using the distributional set-up discussed in the Appendix on distributions. We will derive the exact formulas for the state trajectory and output corresponding to a given initial state and impulsive-smooth distributional input.
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© 2001 Springer-Verlag London
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Trentelman, H.L., Stoorvogel, A.A., Hautus, M. (2001). System invertibility and the strongly reachable subspace. In: Control Theory for Linear Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0339-4_8
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DOI: https://doi.org/10.1007/978-1-4471-0339-4_8
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1073-6
Online ISBN: 978-1-4471-0339-4
eBook Packages: Springer Book Archive