Identification of dynamic characteristics of multiply and multidimensional control objects fundamentally new method
At present, the theoretical basis of the method of identification issued in the form of five articles. Edition of the scientific journal rejected my articles for more than twenty years, on the grounds that they are away from the subject of magazines. To introduce as a scientific community with my research, I have in his declining years, six articles translated into English and sent to the archive. One article on the foundation of quantum mechanics was not accepted even in the archive. Learned people say that it happens in cases where the author with such thoughts should be immediately sent to a psychiatric hospital.
Over the past two years had passed an important change. After placement of five articles in the archive received a letter from U.S. publishers SAP, which proposed to send them my work for free review and publish all of my articles. I sent all the six articles in this publishing house. To my surprise accepted for publication and an article on the foundation of quantum mechanics. Apparently this article, then let's call it N6I, was published on the Internet. At least I got the invitation to speak at an international conference in Budapest, after reading this article. I am very thankful and grateful to the publisher for the U.S. SAP breakthrough multi-year blockade. Then there were the strange events. SAP takes off with an article N6I. Find it in published form is not possible anywhere else. So far I have not received an answer to the question why the article with a positive review was first published on the Internet, and then withdrawn from publication in the magazine and online.
Three articles were published free of charge, not only for readers but also for the author. It was reported that the two articles I have to pay the costs of the board for review and publication in the amount of $ 600 USD. I have a paper written a letter to asked to remove these items from the publication, since I can not pay that amount even offer discounts. My family consists of two retired employees without health insurance over the age of 73. The average income per month is for one family member (217.9 133, 17) / 2 = $ 175, 5 USD at the exchange rate on 19/11/2012. Editorial SAP decided not to shoot with the publication of my article. I promised to return to duty.
Recently, I myself have felt the full validity of the well-known saying: "Friends come and go, but enemies accumulate only and diagnoses." The quality of life has plummeted. In this situation, I opened a savings bank Ukraine's current foreign currency in U.S. dollars account:. Decided to appeal to the readers of my articles to help me pay the costs for publishing articles. If the reader finds that article is interesting and deserves publication, if possible, and the reader may wish to transfer to a specified dollar account any minimal, not burdensome for him the amount. Author wishes to thank all the readers for their moral and material support.
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Reflecting on why such an ambiguous attitude reviewers of scientific journals and moderators to archive my articles and came to the conclusion that I swung at the most sacred of the world-recognized authority on the scientist and his scientific school. The whole world adopted the concept of Wiener and his followers as the theory of stationary random processes. According to Wiener random stationary process belongs to the Hilbert space of Lebesgue L2 on the entire line has a continuous spectrum of harmonic oscillations theorem - Fourier Plancherel and has an ergodic property of the second order. To suppress uncorrelated noise must use secondary raw data in the form of correlation functions.
In my articles shows that the properties of stationary random processes by Wiener up all the way around. The article N1I proved that the domain of the well-known theorem - Fourier- Plancherel defined incorrectly. Nontrivial processes in arbitrary Hilbert spaces can have only a discrete spectrum, as shown by experimental studies of E. E.Slutskim. The article N1I may download.
The article N2I shown that random stationary processes with discrete ergodic have only first-order and second-order ergodicity not have. Get the correct secondary data by averaging over time or across multiple implementations possible. Alternative noise reduction using correlation analysis is the frequency analysis. In solving the problem of identification of dynamic characteristics of linear systems frequency spectrum analysis allows us to interference distorting the input signals, the spectra of noise, distorting the output signals and spectra accurate signals. The article N2I may download.
Thanks to the work of Wiener believe that random stationary processes belong to the Hilbert space of square integrable functions L2 on the whole line. A number of scholars have argued that a stationary random process can not belong to this Hilbert space. The dynamics of many control objects obey classical Newtonian mechanics. The article N3R shown that such control systems observed signals belong to the Hilbert space of almost periodic functions on the real line B2. The article N3I may download.
Known theory of stationary random process of transition to a deterministic function or numeric characteristics defined on the set of random processes. A common approach is to average over the set of realizations. This method has an important limitation - the mutual mapping deterministic autocorrelation function is available in multiple random processes only if the set of random processes is linear obolochkoy stretched over one orthonormal basis. There is an infinite family of sets of stationary random processes, which have the correlation function is zero on the whole line, except at one point at the origin. For such cases, well-known statistical dynamics of linear systems is not applicable. In this regard, the article offers an alternative to the well-known N4I statistical dynamics of linear systems, which allows to solve applied problems without the use of the concepts of correlation functions The article N4I may download
Known sampling theorem of continuous processes, according to which sampling rate is determined by the upper frequency limit of the spectrum of the observed process. This theorem is working perfectly in the transmission of signals through communication channels. In the solution of applied problems of control systems need to be considered derivatives of the observed processes. The article N5R shown that this leads to the correction of certain sampling theorem. The article N5I may download.
The problem of identification of dynamic characteristics, such as linear control systems, is widely used in cybernetics. The paper shows the possibility of N6I identification problem for the determination of mathematical models of physical phenomena, in particular, the external photoelectric effect. The article N6R shown that phenomena such as photoelectric threshold can be explained using only the wave concept of light. Fatal necessity of introducing the concept of the photon to explain many physical phenomena were not. The article N6I may download.
The proposed method to identify the dynamic characteristics of the class of linear stationary models ASVT51 differs from known methods in that instead of the correlation method for noise control Wiener frequency method used to combat noise. Undistorted component additive and multiplicative noise input and output are distinguished by means of frequency analysis, which does not require the operation of averaging over the set of realizations of non-ergodic random processes. The task of identifying the class of non-parametric models is solved indirectly. Initially determined by the value of pure delay, the order and the coefficients of the ordinary differential equation for the selected control channel. According to the obtained differential equation and the delay of the net frequency transfer function of the control channel is defined for a given frequency range calculation.
Initial data for the solution of problems of identification are recorded synchronously implement input and output control channels in the normal functioning of the object to control the observation interval when the proper motions in the control channels can be neglected. Baseline data should not contain noise generated by the substitution frequencies. Channels may also contain elements with lumped and distributed parameters, be nonlinear and non-stationary. The result of the identification of any selected channel is an input-output model, which is a block diagram of a serial connection of two elements, the dynamics of one of them is determined by the harmonic linearized ordinary differential equations with constant coefficients, the average for the chosen period of observation. Another element is the element of delay, if there was a net identifiable channel delay.
For this model the dynamics of the control channel is defined by:
1. The order of the ordinary differential equation (not above fifteenth), which in the first approximation (in the class of linear stationary models) can describe the dynamics of the control channel.
2. The order astatism control channel (not exceeding two)
3. The coefficients of the ordinary differential equations.
4. The net delay if the control channel has this property.
5. All frequency characteristics in a given client bandwidth.
By agreement, we solve the problem of verification by an indirect method, if the customer provides a new source data that meets the condition specified in the Appendix № 3 of the Treaty.
- About the Authors
- Program data preparation.
- Agreement on the solution of the problem of identification (author Tibabishev S. V.)
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