Proceedings Vol. 23 (2017)
ENGINEERING MECHANICS 2017
May 15 – 18, 2017, Svratka, Czech Republic
Copyright © 2017 Brno University of Technology, Faculty of Mechanical Engineering, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)
list of papers scientific commitee
pages 266 - 269, full text
In this article we show the new simple and effective method of Lyapunov Exponents (LE) estimation, based on the perturbation vector and its derivative dot product analysis. We show that presented method can be applied in different aspects of the nonlinear systems control. Moreover, our method is based on very simple computations, involving only basic mathematical operations, such as summing, subtracting, multiplying, dividing, thus it can be easier to apply than other methods. As the actual Lyapunov exponent value is calculated before the next integration step it does not involve an integration errors.
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