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Complete controllability to a closed target set

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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.

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Authors and Affiliations

  1. The Cleveland State University, Cleveland, Ohio

    E. N. Chukwu (Assistant Professor of Mathematics) & S. D. Silliman (Associate Professor of Mathematics)

Authors
  1. E. N. Chukwu
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  2. S. D. Silliman
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Communicated by L. Cesari

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Chukwu, E.N., Silliman, S.D. Complete controllability to a closed target set. J Optim Theory Appl 21, 369–383 (1977). https://doi.org/10.1007/BF00933537

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  • DOI: https://doi.org/10.1007/BF00933537

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