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Displaying similar documents to “An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems.”

Use of semidefinite programming for solving the LQR problem subject to rectangular descriptor systems

Muhafzan (2010)

International Journal of Applied Mathematics and Computer Science

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This paper deals with the Linear Quadratic Regulator (LQR) problem subject to descriptor systems for which the semidefinite programming approach is used as a solution. We propose a new sufficient condition in terms of primal dual semidefinite programming for the existence of the optimal state-control pair of the problem considered. The results show that semidefinite programming is an elegant method to solve the problem under consideration. Numerical examples are given to illustrate the...

The use of linear programming in manpower planning.

Stefan Vajda (1985)

Trabajos de Estadística e Investigación Operativa

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Concepts of linear programming are used in a discrete renewal model for the development of a graded population, when the transfer rates between the various grades are given and the 'wastage' is replaced by new entrants. The following questions are considered. Which structures can be attained from a given structure, after one or two steps? Which structures can be re-attained after one or two steps? Attention is paid to the possibility of alternative routes, and it is observed...

Universal real locally convex linear topological spaces

Otton Martin Nikodým (1951)

Annales de l'institut Fourier

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Par une méthode ressemblant à celle de E. Silverman (Rivista di Matematica di Parma, 1951) on construit des espaces universels dans lesquels les espaces linéaires réels, topologiques et localement convexes L peuvent être plongés d’une manière isomorphe et isométrique par rapport à la pseudonorme de D.H. Hyers (, J., 5 (1939)). La convergence dans L se transforme en une modification de la convergence uniforme des fonctions, ce qui montre que cette dernière possède une généralité qu’on...