Controllability theory for linear constant systems with sampled control is unified in a simple formulation of necessary, sufficient, and necessary and sufficient conditions using primarily Sylvester' s double sided inequality. Examples illustrate the results of a general development in which System eigenvalues are not necessarily Jordan linked, and demonstrate system controllability when the number of control steps is less than the degree of the minimal polynomial
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GIBSON et al. (1980) studied this question.
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