Abstract
In paper the problem of forecast dynamical systems motion is studied in a deterministic statement. The problem of synthesis of an adequate mathematical description of dynamical systems which is the best for the purpose of predicting the behavior of this system is considered. ln general, this problem is reduced to solve number of integral equations of the first kind of Volterra (ill-posed problems) into which the change of the mathematical model parameters was considered. The special statement of problem is suggested.
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References
Lee SW, Lee HK (2008) Reliability prediction system based on the failure rate models of electronics components. J Mech Sci Technol 22:957–964
Dreyfus G (2005) Neural networks: methodology and applications. Springer Sci Bus Media
Marcek D (2016) Statistical models and granular SOFI RBF neural network for Malaysia KLCI price index prediction. In: Proceedings of ITISE 2016 international work-conference on time series, Granada 27–29, June 2016, pp 530–540
Naushad MK, Yuvraj S, Vandna J (2016) GQL estimation in bivariate non-stationary poisson time series model based on copula approach. In: Proceedings of ITISE 2016 international work-conference on time series. Granada, 27–29, June 2016, pp 482–493
Chandola V, Banerjee A, Kumar V (2008) Anomaly detection: a survey. ACM Comput Surv (CSUR) 41 l5:-15:58 (2008)
Menshikov Yu (2020) Synthesis of adequate mathematical descriptions of physical processes. Cambridge Scholars Publishing, Monograph
Menshikov Yu (2013) Synthesis of adequate mathematical description as solution of special inverse problems. Eur J Math Sci 2(3):256–271
Menshikov Y (2007) Identification of models of external loads. In: Proceedings of ICINCO 2007, Angers, France, pp 376–379
Gubarev V (2008) Method of iterative identification of many-dimensional systems with inexact data. Part 1. Theoretical basics. Problems of Control and Information, Kiev, 2, pp 8–26
Stepashko V (2008) Method of critical dispersions as analytical apparatus of theory of inductive modeling. Prob Control Inf 2:8–26
Tikhonov A, Arsenin V (1979) Methods of incorrect problems solution, Moscow, Science
Menshikov Yu (2019) Criteria for estimation the adequacy of mathematical descriptions of physical processes, chapter: modelling and simulation in engineering. Intech-Open, London
Goncharski A, Leonov A, Yagola A (1972) On a regularizing algorithm for ill-posed problems with an approximately given operator. J Comput Math Math Phys 12(6):1592-l594
Menshikov Y (2011) Inverse problems in non-classical statements. J Pure Appl Math 67(1):7–96
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Menshikov, Y. (2022). Motion Forecast of Dynamical Systems. In: Giri, D., Raymond Choo, KK., Ponnusamy, S., Meng, W., Akleylek, S., Prasad Maity, S. (eds) Proceedings of the Seventh International Conference on Mathematics and Computing . Advances in Intelligent Systems and Computing, vol 1412. Springer, Singapore. https://doi.org/10.1007/978-981-16-6890-6_63
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DOI: https://doi.org/10.1007/978-981-16-6890-6_63
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