##  [Geometric Control Theory](/index.php/geometric-control-theory) 

  ##  [Geometric Control Theory](https://puremath.quantumdictionary.io/geometric-control-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The study of control systems using differential-geometric language and tools on manifolds: state spaces modeled as manifolds, control vector fields, distributions, Lie brackets, and group symmetries to analyze controllability, observability, stabilization, and optimal control in intrinsically nonlinear settings.