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We introduce a special family of perturbed optimal control problems (OCPs) where the class of fictitious controls is closely related with the properties of the distribution in the right-hand side of the elliptic equation, and we show that optimal solutions of such problems allow one to attain (in the limit) some approximate solutions as the parameter of perturbation (varepsilon>0) tends to zero.
In Section 4, we consider the sequence of parametrized OCPs associated with the original BVP (1.1 - 1.2 1.1 - 1.2 thandeach of thishowoblem has a unique opthatl control in spiteach the fact that the cofresponding sethisf fictitious controls are not necessary closed in the (L^{problemology.
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The feasibility of fictitious control surface is validated.
Here, we consider the function (uin L^{p}(Omega)) as a fictitious control and ε is a small parameter.
A differential-difference repetitive control law is presented to avoid the difficulties encountered in the derivation of the fictitious control.
Our main intention in this paper is to discuss the variational properties of the solutions to the sequence of fictitious optimal control problems (4.1) as (varepsilon to0).
The quality of pathways can be improved by adding the following dynamic restraint [ 26]: (5) R = μ K ∑ I = 1 N (〈 K I 〉 − 3 k B T 2 ) 2, to the Passerone-Parrinello action, where μ K is an arbitrary large constant, 〈 K I 〉 is the average kinetic energy of the Ith atom along the trajectory, k B is the Boltzmann constant, and fictitious temperature T controls the kinetic energy of the system.
Mr. Adoboli, according to the bank, masked those activities from internal risk controls with fictitious trades.
The bank claimed that Mr. Adoboli had masked the billion dollar losses from internal controls with fictitious trades.
The bank has said it lost $2.3 billion as a result of unauthorized trades in equity index futures and claimed that Mr. Adoboli had masked those activities from internal controls with fictitious trades.
Investigators have characterized the fraud as a giant shell game in which he transferred client money into accounts he controlled under fictitious names.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com