Journal
ENGINEERING MECHANICS 2017
Volume -, Issue -, Pages 266-+Publisher
ACAD SCI CZECH REPUBLIC, INST THERMOMECHANICS
Keywords
Stability; Lyapunov exponents; Nonlinear dynamics; Control system optimization
Categories
Funding
- Polish Ministry of Science and Higher Education [D/2013 019743]
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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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