Abstract
This paper is concerned with nonsmooth optimal control problems in which the functionals on the right-hand sides of the differential equations describing the controlled system are nondifferentiable (more specifically, quasidifferentiable). Several necessary conditions are derived. It turns out that different variations of a control produce different necessary conditions which are generally not equivalent. As a result we obtain several necessary conditions of different complexity which may be used to solve nonsmooth optimal control problems.
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© 1986 The Mathematical Programming Society, Inc.
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Demyanov, V.F., Nikulina, V.N., Shablinskaya, I.R. (1986). Quasidifferentiable functions in Optimal Control. In: Demyanov, V.F., Dixon, L.C.W. (eds) Quasidifferential Calculus. Mathematical Programming Studies, vol 29. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0121145
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DOI: https://doi.org/10.1007/BFb0121145
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