Time- and Frequency-Domain Characteristics of Linear Time-Invariant Systems

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


The purpose of this chapter is twofold. First, we explain how a linear time-invariant system acts in the frequency domain. An important feature of such systems is that (in an input/output setting) they transform sinusoidal (and, more generally, exponential) inputs into sinusoidal (exponential) outputs. This leads to the transfer function and the frequency response as a convenient way of describing such systems. The second purpose of this chapter is to study properties of the time- and frequency-domain response. Thus we describe important characteristics of a system that can be deduced from its step-response, or from its Bode and Nyquist plots.


Transfer Function Nyquist Plot Settling Time Step Response Exponential Behavior 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations