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Controllability of nonlinear systems to affine manifolds

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Controllability to an affine manifold involves controlling a system to a target defined by the generalized boundary condition Γx=r, where Γ:C nR n is a bounded linear operator on the continuous functions, as defined for ordinary differential equations by Kartsatos. In this paper, sufficient conditions are obtained for such controllability for linear systems and for a class of nonlinear perturbations of linear systems.

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References

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Communicated by L. Cesari

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Balachandran, K., Dauer, J.P. Controllability of nonlinear systems to affine manifolds. J Optim Theory Appl 64, 15–27 (1990). https://doi.org/10.1007/BF00940019

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