ChenFliessSeries.jl
  • Introduction
    • Why Chen–Fliess series?
    • Understanding the algebraic structure
    • Definition of iterated integrals
    • Definition of Lie derivatives
    • A concrete example
    • Practical use and truncation
    • What the package does
    • Summary of the Chen–Fliess pipeline
  • Getting Started
    • Contents
    • Installation
    • Basic Usage (High-Level Overview)
    • Computing iterated integrals
    • Defining vector fields and outputs
    • Computing Lie derivatives
    • Computing truncated Chen–Fliess series
    • Comparing with ODE simulation
    • Common pitfalls
    • More examples
  • Examples
    • 2D Planar Quadrotor
      • System dynamics
      • Defining the system in Julia
      • Input signal
      • Computing iterated integrals
      • Computing Lie derivatives
      • Assembling the truncated Chen-Fliess series
      • Simulating the true 2D planar quadrotor dynamics
      • Comparison plot
    • Pendulum Example
      • System dynamics
      • Defining the system in Julia
      • Input signal
      • Computing iterated integrals
      • Computing Lie derivatives
      • Assembling the truncated Chen–Fliess series
      • Simulating the true pendulum dynamics
      • Comparison plot
      • Error analysis
      • Interpretation
  • Contributing
    • How to Contribute
    • Guidelines
ChenFliessSeries.jl
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