OPTIMAL CONTROL FOR SYSTEMS GOVERNED BY DISCONTINUOUS NONLINEARITY
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Abstract
The aim of this paper is to present an existence theorem of optimal control for systems descrided by the operator equation of Hammerstein type $x + K F(u, x) = 0$ with the discontinuous monotone nonlinear operator $F$ in $x$. Then, the theoretical result is applied to investigate an optimal control problem for system, where the state is written in the form of nonlinear integral equations in $L_p(\omega)$.
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