Displaying similar documents to “Necessary conditions of optimality for infinite dimensional uncertain systems.”

Forecast horizon in dynamic family of one-dimensional control problems

Ryszarda Rempała

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The forecast horizon is defined as a property of a class of functions. Some general existence conditions are derived. The results are applied to the process x(·) described by the differential equationẋ(t) = e(t,u(t)) - f(t,x(t)), x ( 0 ) = x 0 ,where e, f are nonnegative and increasing in the second variable, and u(·) denotes a control variable.A cost functional is associated with the process and the control. The cost is characterized by three functions: g(t,u), h(t,x), k(x), and a time interval....

Relaxation of optimal control problems in 𝖫 𝗉 -spaces

Nadir Arada (2001)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an L p -space ( p < ∞ ). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.