System invertibility and the strongly reachable subspace

  • Harry L. Trentelman
  • Anton A. Stoorvogel
  • Malo Hautus
Part of the Communications and Control Engineering book series (CCE)

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.

Keywords

Convolution Lution 

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Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

  • Harry L. Trentelman
    • 1
  • Anton A. Stoorvogel
    • 2
  • Malo Hautus
    • 2
  1. 1.Department of MathematicsUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of Mathematics and Computing ScienceEindhoven University of TechnologyEindhovenThe Netherlands

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