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Analytical and Numerical Approaches for Linear Systems: Handling Piecewise Continuous Functions

Explore ECE 280's three main strategies to solve first-order linear systems with piecewise continuity using analytic and computational methods in MATLAB. Analyze the physics requirements enforcing continuity in x(t) for intervals.

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Analytical and Numerical Approaches for Linear Systems: Handling Piecewise Continuous Functions

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Presentation Transcript

  1. Piecewise Continuous First Order Linear SystemsThree Approaches ECE 280

  2. Analytical Approach and the physics require that x(t) be continuous for first interval = -1 for x > 1 but since x(t) must be continuous x(1) = 1 - 1 - x(t) =

  3. Symbolic Matlab Approach – Script (1 of 2)

  4. Symbolic Matlab Approach – Script (2 of 2)

  5. Symbolic Matlab Approach – Plot Results

  6. Numerical Matlab Approach - Script

  7. Numerical Matlab Approach – Plot Results

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