SECOND ORDER NECESSARY CONDITIONS OF OPTIMALITY FOR STOCHASTIC SYSTEMS WITH VARIABLE DELAY

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2010

Authors

Ch. A. Agayeva

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AMER MATHEMATICAL SOC

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The purpose of this paper is to give necessary conditions of optimality of nonlinear stochastic control systems with variable delay for singular controls. As a result the second order necessary optimality condition for the stochastic system with uncontrolled diffusion coefficient is obtained.

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Stochastic differential equations with delay, stochastic control problem, necessary condition of optimality, singular controls, adjoint stochastic differential equations

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