Abstract
We consider the limiting behavior of optimal bang-bang controls as a family of Sobolev equations formally converges to a wave equation. The weak-starlimit of the sequence of bang-bang controls is an optimal control for the wave equation problem. The associated optimal states converge strongly and, for the optimal time problem, the optimal times converge to the optimal time for the wave equation.
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Communicated by L. D. Berkovitz
This work was supported in part by the National Science Foundation, Grant No. MCS-79-02037.
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White, L.W. Limiting behavior of bang-bang controls for Sobolev problems. J Optim Theory Appl 38, 275–285 (1982). https://doi.org/10.1007/BF00934088
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DOI: https://doi.org/10.1007/BF00934088