Systems Defined by Linear Differential Equations

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


In this chapter we discuss a very common class of dynamical systems. It consists of the systems that are:
  • linear

  • time-invariant

  • described by differential (or, in discrete time, difference) equations.


Weak Solution Strong Solution Linear Differential Equation Polynomial Matrix Polynomial Matrice 


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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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