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Appendix D: Developing difference equations

Appendix D: Developing difference equations

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The book chapter appendix presents information on difference equations. it covers: Root-matching technique applied to a first-order lag function; Root-matching technique applied to a first-order differential pole function; Difference equation by bilinear transformation for RL series branch; Difference equation by numerical integrator substitution and Equivalence of trapezoidal rule and bilinear transform.

Chapter Contents:

  • D.1 Root-matching technique applied to a first-order lag function
  • D.1 Root-matching technique applied to a first-order lag function
  • D.2 Root-matching technique applied to a first-order differential pole function
  • D.2 Root-matching technique applied to a first-order differential pole function
  • D.3 Difference equation by bilinear transformation for RL series branch
  • D.3 Difference equation by bilinear transformation for RL series branch
  • D.4 Difference equation by numerical integrator substitution for RL series branch
  • D.4 Difference equation by numerical integrator substitution for RL series branch
  • D.5 Equivalence of trapezoidal rule and bilinear transform
  • D.5 Equivalence of trapezoidal rule and bilinear transform

Inspec keywords: transforms; difference equations; integral equations

Other keywords: numerical integrator substitution; first-order lag function; bilinear transform; bilinear transformation; root-matching technique; first-order differential pole function; trapezoidal rule; RL series branch

Subjects: Differential equations (numerical analysis); Mathematical analysis; Integral equations (numerical analysis); Integral transforms in numerical analysis; Integral transforms

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