Sufficient conditions for global and local controllability of the nonlinear systemd/dtx(t) = A(t,x(t), u(t))x(t) + B(t)u(t) + f(t,x(t), u(t))and its perturbed system are given. These conditions extend some previous results through the removal of certain boundedness conditions involving the functions (A,f) and their partial derivatives.
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Kuang-Chung Wei (1976) studied this question.
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