The paper addresses a nonlinear heat equation (the porous medium equation) in the case of a power-law dependence of the heat conductivity coefficient on temperature. The equation is used for describing high-temperatur...
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The property of observability of controlled binary dynamical systems is investigated. A formal definition of the property is given in the language of applied logic of predicates with bounded quantifiers of existence a...
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Numerical study is provided of the methods for solving the facility location problem when the clients choose some suppliers by their own preferences. Various formulations of this problem as an integer linear programmi...
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The paper proposes a computational technology for constructing the boundary of the reachable set of the controlled dynamical systems. The monowave method underlying it relies on the use of a given sequence of controls...
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The article proposes a method based on using binary dynamical systems in the classification problem for Boolean vectors (binary feature vectors). This problem has practical application in various fields of science and...
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Here we address two optimization problems: the search for Nash equilibria in polymatrix games and the quadratic-linear bilevel programming problem. It can be shown that each of the problems possesses a hidden nonconve...
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ISBN:
(纸本)9789616165457
Here we address two optimization problems: the search for Nash equilibria in polymatrix games and the quadratic-linear bilevel programming problem. It can be shown that each of the problems possesses a hidden nonconvexity and, as a consequence, a rather large number of local solutions which are different from global ones. Further, the principal elements of Global Search theory are sketched. Finally, we present the results of computational solutions.
The problem is considered of the stabilization of a mechanical system having only nonconservative positional forces by adding gyroscopic forces. The gyroscopic stabilization is proved to be always realizable in the ca...
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We study the necessary and sufficient conditions for the existence of a nonlinear differential realization of a continuous infinite-dimensional behaviorist system in the class of nonstationary second-order bilinear or...
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We improve the available necessary conditions and sufficient conditions for the Dstability and additive D-stability of matrices. We define these dynamical properties with respect to a finite parallelepiped and propose...
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In this paper, we study the dependencies of the number of symmetric and doubly symmetric diagonal Latin squares on the order N. Using fast generator of diagonal Latin squares (augmented by symmetry checker), we determ...
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In this paper, we study the dependencies of the number of symmetric and doubly symmetric diagonal Latin squares on the order N. Using fast generator of diagonal Latin squares (augmented by symmetry checker), we determined these dependencies for order at most 8. We also found a number of doubly symmetric diagonal Latin squares of orders 12, 16 and 20.
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