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Complete controllability to a closed target set
Authors:E N Chukwu  S D Silliman
Institution:(1) The Cleveland State University, Cleveland, Ohio
Abstract:The complete controllability to a closed target setG of nonlinear systems is studied. In the linear case, states completely controllable toG are characterized in closed form. Using a geometric growth condition, a necessary and sufficient condition for the complete controllability toG of the system 
$$\dot x$$
=A(t)x+k(t, u) is given, making it possible to study the perturbed nonlinear system. Some examples are given.
Keywords:Complete controllability  closed target set  nonlinear systems  growth conditions
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