Time Domain Description of Linear Systems

  • Jan Willem Polderman
  • Jan C. Willems
Part of the Texts in Applied Mathematics book series (TAM, volume 26)


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.


Weak Solution Autonomous System Strong Solution Polynomial Matrix Polynomial Matrice 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Jan Willem Polderman
    • 1
  • Jan C. Willems
    • 2
  1. 1.Department of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands
  2. 2.Mathematics InstituteUniversity of GroningenGroningenThe Netherlands

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