State linearization of control systems: An explicit algorithm

@article{Tall2009StateLO,
  title={State linearization of control systems: An explicit algorithm},
  author={Issa Amadou Tall},
  journal={Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference},
  year={2009},
  pages={7448-7453}
}
In this paper we address the problem of linearization of nonlinear control systems using coordinate transformations. Although necessary and sufficient geometric conditions have been provided in the early eighties, the problem of finding the linearizing coordinates is subject to solving a system of partial differential equations and remained open 30 years later. We will provide here a complete solution to the problem by defining an algorithm allowing to compute explicitly the linearizing state… CONTINUE READING
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