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Definition of "null controllability" |
a dynamical system that is controllable to zero end state. In many cases, null controllability is equivalent to controllability. This is always true for linear finite-dimensional continuous-time dynamical system. However, in discrete case, controllability may be the stronger notion than null controllability. In this case, the two concepts are equivalent if and only if rank(A) = n. For dynamical systems with delays, these two notions are essentially different. For infinite-dimensional systems the relations between null controllability and controllability depend on the properties of the semigroup S(t) generated by the operator A. |
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