Control landscapes for a class of non-linear dynamical systems: sufficient conditions for the absence of traps

@inproceedings{Russell2017ControlLF,
  title={Control landscapes for a class of non-linear dynamical systems: sufficient conditions for the absence of traps},
  author={Benjamin Russell and Shanon L. Vuglar and Herschel Rabitz},
  year={2017}
}
  • Benjamin Russell, Shanon L. Vuglar, Herschel Rabitz
  • Published 2017
  • Physics, Mathematics
  • We establish three tractable, jointly sufficient conditions for the control landscapes of non-linear control systems to be trap free comparable to those now well known in quantum control. In particular, our results encompass end-point control problems for a general class of non-linear control systems of the form of a linear time invariant term with an additional state dependent non-linear term. Trap free landscapes ensure that local optimization methods (such as gradient ascent) can achieve… CONTINUE READING

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