On weakening of the controllability concepts
Agamirza E. Bashirov · 2002
The controllability concept for the partially observed stochastic system is defined as the property of attaining the arbitrarily small neighborhood of each point in the state space with probability arbitrarily closely to one. It is shown that the approximate controllability condition is necessary and the complete controllability condition is sufficient for the partially observed linear Gaussian control system to be controllable in the above sense.