000021281 001__ 21281
000021281 005__ 20170522124347.0
000021281 04107 $$aeng
000021281 046__ $$k2017-05-15
000021281 100__ $$aDabrowski, A.
000021281 24500 $$aAPPLICATIONS OF THE NEW METHOD OF THE LYAPUNOV EXPONENTS ESTIMATION

000021281 24630 $$n23.$$pEngineering Mechanics 2017
000021281 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021281 506__ $$arestricted
000021281 520__ $$2eng$$aIn 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.

000021281 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021281 653__ $$aStability, Lyapunov exponents, Nonlinear dynamics, Control system optimization.

000021281 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021281 720__ $$aDabrowski, A.$$iPikunov, D.$$iBalcerzak, M.
000021281 8560_ $$ffischerc@itam.cas.cz
000021281 8564_ $$s1104959$$uhttps://invenio.itam.cas.cz/record/21281/files/0266.pdf$$yOriginal version of the author's contribution in proceedings, page 266, section DYN.
000021281 962__ $$r21225
000021281 980__ $$aPAPER