Abstract
We develop a general approximation framework for use in optimal control problems governed by nonlinear functional differential equations. Our approach entails only the use of linear semigroup approximation results, while the nonlinearities are treated as perturbations of a linear system. Numerical results are presented for several simple nonlinear optimal control problem examples.
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Communicated by L. D. Berkovitz
This research was supported in part by the US Air Force under Contract No. AF-AFOSR-76-3092 and in part by the National Science Foundation under Grant No. NSF-GP-28931x3.
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Banks, H.T. Approximation of nonlinear functional differential equation control systems. J Optim Theory Appl 29, 383–408 (1979). https://doi.org/10.1007/BF00933142
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DOI: https://doi.org/10.1007/BF00933142