Differential-Algebraic Equations

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

A system of equations containing both differential equations and algebraic constraints. In optimal control formulations, the equations of motion form the differential part while position continuity and terminal constraints form the algebraic part. DAE systems are classified by index: index-zero systems reduce to ODEs, while semi-explicit index-two DAEs require specialized numerical methods.

Application Value

This term has significant practical applications in cislunar mission planning and execution.

  • Intersection over Union
  • Point Spread Function
  • Flexible Image Transport System
  • Normalized Innovation Squared, NIS

References

  • Serban et al., 2002, Acta Astronautica
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Contributors: ouyangjiahong, Ou Yang Jiahong