To the Question on Methodological Crisis of the Modern Theory of Optimum Control

2018 ◽  
Vol 19 (1) ◽  
pp. 26-30
Author(s):  
B. V. Suhinin ◽  
◽  
V. V. Surkov ◽  
Author(s):  
P.P. Krutskikh ◽  
O.V. Tsarik

The actual research problem of operations is development of methods of increase of a management efficiency by processes of the conflict nature. Article is devoted to development of methods of increase of a management efficiency by such processes. The purpose of article is the substantiation of the approach to parametrical synthesis of optimum control by multi-step stochastic minimax processes and procedures of the numerical analysis of likelihood dynamic characteristics of process. Formalization of process consists in definition of its type, a vector of phase coordinates and corresponding restrictions, the task of set of the actions sold by each the parties, efficiency of each action, control parameters (varied parameters of process) which task of values each of the parties influences a course of process, control restrictions, criteria of efficiency of the parties expressed through elements of a vector of phase coordinates. Discrete final stochastic process is considered. Change of phase coordinates occurs during the discrete moments of time, named steps of process. Phase coordinates depend on values of two groups of control parameters (controls of the counteracting parties). Within the limits of the modern theory of optimization of stochastic systems procedure of synthesis of optimum control is realized two-phase. At the first stage with use of analytical methods the structure of optimum control is determined. For these purposes the simplified determined model of process can to be used. At the second stage parametrical control optimization with use of algorithmic methods and computing procedures statistical linearization is carried out. Dynamics of process is described vectorial finite-difference equation. It is necessary to distinguish cases when there is saddle a point and when saddle the point is absent. Parametrical synthesis of optimum control is possible only in the first case. It is considered three basic variants of the equation: the linear equation; the nonlinear equation with optimum controls on border of a range of definition; the nonlinear equation with optimum controls inside of a range of definition. For the first variant there is an effective algorithm of parametrical synthesis of optimum control. For the second variant of synthesis of optimum control it is possible, but the algorithm is not effective. For the third variant to determine optimum managements it is not possible. Procedure statistical linearization is offered. Procedure consists in generation of set of realizations of the casual process set by the vector equation, calculation of optimum control for each concrete realization and the further statistical processing of the received results. The process described by the piecewise linear vector equation, is a special case of nonlinear process. At that it keeps property of independence of optimum control from coordinates of process. It provides expansion of a scope of effective computing procedure of synthesis of optimum control on a new class of piecewise linear processes. Property of a constancy process Hamiltonian can be used as criterion of correctness of calculation of optimum control in concrete cases. Application of the offered procedure provides use of methods of statistical modelling for the decision of tasks of the analysis of dynamics of the conflict and synthesis of optimum control in view of nonlinearity of functions of losses of the parties, dependence of efficiency of means used by them on the random factors formalized in the form of stochastic functions with various likelihood distributions, and also uncertainty concerning actions of the opponent.


2007 ◽  
pp. 123-135 ◽  
Author(s):  
I. Dezhina ◽  
V. Kiseleva

The article analyzes modern theory that explains the specificity of relationships among government, science and business in innovation systems - the "triple helix" concept. Factors that determine the appearance of new theory are systematized. The peculiarities of formation of "triple helix" in Russia are described, including the development of science, business and the system of government regulation in innovation sphere. The conclusion is made that currently in Russia only double linkages are formed.


2016 ◽  
Vol 6 (2) ◽  
Author(s):  
David E. Scharff

Enrique Pichon-Rivière, a pioneer of psychoanalysis, worked and wrote in Argentina in the mid-twentieth century, but his work has not so far been translated into English. From the beginning, Pichon-Rivière understood the social applications of analytic thinking, centring his ideas on "el vinculo", which is generally translated as "the link", but could equally be translated as "the bond". The concept that each individual is born into human social links, is shaped by them, and simultaneously contributes to them inextricably ties people's inner worlds to the social world of family and society in which they live. Pichon-Rivière believed, therefore, that family analysis and group and institutional applications of analysis were as important as individual psychoanalysis. Many of the original family and couple therapists from whom our field learned trained with him. Because his work was centred in the analytic writings of Fairbairn and Klein, as well as those of the anthropologist George Herbert Mead and the field theory of Kurt Lewin, his original ideas have important things to teach us today. This article summarises some of his central ideas such as the link, spiral process, the single determinate illness, and the process of therapy.


Author(s):  
Vita Semanyuk

Accounting as a practical activity was being developed during millennia but the final forming of accounting science is impossible without the development of its modern theory, which is correspondent to the requirements of scientific doctrines of the 21st century. The existing theory, in many cases, is not good at all and, in general, it is the set of technical approaches of realization of double record. The results of economic investigations of the world level show the impossibility of modern accounting science to fulfill its functions because of its conservative character and it was not changed during many years. All these investigations have a direct impact on economy and show that the understanding of the basic postulates changes and the stress is made on psychological and social aspects and avoiding of material ruling.


2019 ◽  
Vol 15 (1-2) ◽  
pp. 15-22
Author(s):  
Basavaraj Naikar

In this article I have examined Dr. C.R.Yaravintelimath's adventurous translation of Allamaprabhu's Kannada vacanas, which are said to be the most difficult ones to understand and interpret, as they are loaded with obscure symbolism derived from the mystical and metaphysical tradition of Virasaivism in particular and of pan-Hinduism in general. I have analyzed this translation in the light of modern theory of translation and shown hoe the element of foreignization outweighs that of domestication and suggested the need for the interpretation of Allamaprabhu's vacanas in translation from a larger perspective of Comparative Indian and World Literature, especially mystic literature.


Author(s):  
A. M.  Litvinenko ◽  
◽  
D. S.  Baranov ◽  
A. E.  Novikov ◽  
◽  
...  

Author(s):  
Maryana Bil ◽  
Olha Mulska

The article defines the content of welfare as a measure of socially oriented efficiency of economic growth, which reflects the appropriate level of providing the population with material and spiritual goods with the formation of favourable conditions for human development and capitalization of human potential in a competitive mobile space. The modern theory of welfare testifies to the deepening of scientific discussions on the transformation of economic welfare into mobile and inclusive, as well as the opposition of competitive and social protection welfare policy. Another milestone in the evolution of welfare theory is the individualization of its provision. Conditions of competition and mobility increase the importance of households in providing their well-being with further reflection on the processes of economic growth of the community, region, and state. This gives grounds to actualize the issues of household welfare research and strengthening economic growth based on behavioural economics. The needs, interests, motives, and incentives determine the economic behaviour of households. At higher levels, it defines an economic culture that is closely linked to the national mentality. In this regard, the main models of economic and social behaviour of households – socialization, adaptation, integration, values, regulation, and the definition of financial development strategies are outlined. Theoretical approaches to the explanation of economic behaviour are generalized, namely religious-ethical, psychological, substantive theories, theories of motivations and acquired needs, process theories, theories of justice, and others. Based on the ideas of foreign scientists, the main determinants of the economic policy of households are proposed. Political, stabilizing, and economic determinants are distinguished in the group of general determinants. In the group of determinants directly related to households, the financial, demographic, cultural, social, empirical, and psychological are suggested. The author’s emphasis is placed on the importance of the impact of financial determinants of the households’ economic behaviour, the central place among which is occupied by savings.


Author(s):  
Jennifer Coopersmith

Hamilton’s genius was to understand what were the true variables of mechanics (the “p − q,” conjugate coordinates, or canonical variables), and this led to Hamilton’s Mechanics which could obtain qualitative answers to a wider ranger of problems than Lagrangian Mechanics. It is explained how Hamilton’s canonical equations arise, why the Hamiltonian is the “central conception of all modern theory” (quote of Schrödinger’s), what the “p − q” variables are, and what phase space is. It is also explained how the famous conservation theorems arise (for energy, linear momentum, and angular momentum), and the connection with symmetry. The Hamilton-Jacobi Equation is derived using infinitesimal canonical transformations (ICTs), and predicts wavefronts of “common action” spreading out in (configuration) space. An analogy can be made with geometrical optics and Huygen’s Principle for the spreading out of light waves. It is shown how Hamilton’s Mechanics can lead into quantum mechanics.


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