The Stability Study of Dynamic Systems Using the Leapunov Function Method

Dumitru Bălă

doi:10.4028/www.scientific.net/AEF.34.123

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Experimental Study, Modeling and Virtual Simulations of Car Part Realized from Composite Materials
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The Stability Study of Dynamic Systems Using the Leapunov Function Method
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HomeAdvanced Engineering ForumAdvanced Engineering Forum Vol. 34The Stability Study of Dynamic Systems Using the...

The Stability Study of Dynamic Systems Using the Leapunov Function Method

Abstract:

The paper includes the stability study of some dynamical systems given by systems of differential equations. The paper examines the stability of three dynamic systems using the Leapunov function method. The originality of the paper consists of how we choose the Leapunov function. We apply the stability theorems given by Leapunov for autonomous systems. Stability is an important property of a dynamic system that has applications in the technique.

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Periodical:

Advanced Engineering Forum (Volume 34)

Pages:

123-128

DOI:

https://doi.org/10.4028/www.scientific.net/AEF.34.123

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Online since:

October 2019

Authors:

Dumitru Bălă*

Keywords:

Lagrangian, Leapunov Function, Prime Integral, Stability, Stability Charts

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