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Titlebook: Analysis and Optimization of Systems; Proceedings of the 9 A. Bensoussan,J. L. Lions Conference proceedings 1990 Springer-Verlag Berlin Hei

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Ivana Medved,Kristina Peštović,Dušan Saković way to “fictitiously” complete this market so that the optimal protfolio for the resulting completed market coincides with the optimal portfolio for the original incomplete market. A number of equivalent characterizations of the fictitious completion are given, and examples are provided.
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Kai Wang,Jeffrey C. F. Tai,Hsin-Lu Changunique solution of the parabolic delay equation with the Neumann boundary condition involving a time delay are proved. The performance functional has the quadratic form. The time horizon T is fixed. Finally, we impose some constraints on the control. Making use of the Lions scheme
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Natalia A. Zhuravleva,Tomas Kliestik the optimal one, only a sketch of the proof will be given. It makes use of probability changes and differentiation with respect to the initial condition. Finally, we present the results obtained when applying those filters to an example and we notice that the propositions previously stated are verified numerically.
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Mariya Stankova,Svetoslav Kaleychevlled. In this paper, it is proved that for this kind of problem, it is possible to associate such a method to simplifications of the model on the one hand and separation of the system into multiple time scale cascade subsystems on the other. Thus, the dimension of the unobservable part can be minimized and the control law is simpler.
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Modern Trends in the Sharing Economyts in the form of a control strategy consisting of a composition of functions, including arithmetic operations, conditional logical operations, and mathematical functions. This control strategy takes the problem’s state variables as its input and generates the direction from which to apply the “bang bang” force as its output.
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Peter Antonov,Nikoleta Georgievas), reduces to the factorization of several rational matrices in two variables having separable denominators. This factorization problem is examined and a method is given for constructing minimal factorizations for such rational matrices.
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