Absolutely New, Simple and Effective Theory of Movement Steadiness
International Journal of Theoretical and Applied Mathematics
Volume 4, Issue 4, August 2018, Pages: 35-39
Received: Dec. 3, 2018;
Accepted: Dec. 20, 2018;
Published: Jan. 14, 2019
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Smol’yakov Eduard Rimovich, Department of Mathematics, Lomonosov Moscow State University, Moscow, Russia
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The absolutely new, simple and effective theory is proposed which differs from the classical Liapunov's theory of the movement steadiness. This theory permits to simplify and to speed up the search for the stable movement many times. The classical theory is very complex for using in the engineer practice and one does not bring success in many cases. It was necessary to create a theory that would be devoid of all shortcomings of the classical theory. In this work, it is proposed exactly such theory. Instead of the very complex Liapunov’s function we propose to use the variations calculation. This gives the invaluable winner in the speed and simplicity while searching for the stable movement.
Dynamical Systems, Movement Steadiness, New Theory
To cite this article
Smol’yakov Eduard Rimovich,
Absolutely New, Simple and Effective Theory of Movement Steadiness, International Journal of Theoretical and Applied Mathematics.
Vol. 4, No. 4,
2018, pp. 35-39.
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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