2017
DOI: 10.1155/2017/1684637
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Approximate Controllability of Semilinear Control System Using Tikhonov Regularization

Abstract: For an approximately controllable semilinear system, the problem of computing control for a given target state is converted into an equivalent problem of solving operator equation which is ill-posed. We exhibit a sequence of regularized controls which steers the semilinear control system from an arbitrary initial statex0to anϵneighbourhood of the target statexτat timeτ>0under the assumption that the nonlinear functionfis Lipschitz continuous. The convergence of the sequences of regularized controls and the … Show more

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