A linear ensemble is uniformly controllable exactly when a matrix built from the control fields evaluated at the drift's preimages has full rank at every parameter value.
C HEN, Modeling and control of collective dynamics: From schroedinger bridges to optimal mass transport , May 2016
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On Separating Points for Ensemble Controllability
A linear ensemble is uniformly controllable exactly when a matrix built from the control fields evaluated at the drift's preimages has full rank at every parameter value.