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2. V'(x)<0 means that systems energy converges [around some area defined by x] ->(locally) asymptotically converges to stable equilibrium point
(if x=0 is such one) <!-- Template:Unsigned IP --><small class="autosigned">— Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/93.129.2.48|93.129.2.48]] ([[User talk:93.129.2.48#top|talk]]) 18:54, 20 February 2017 (UTC)</small> <!--Autosigned by SineBot-->
== Added text needs to be better formatted and integrated into article ==
{{ping|Salih Ertan}} you added the following section to this article but didn't format it very well. Adding a "CORRECTION" in the middle of an article does not fit with the encyclopedic nature of Wikipedia. Please also look at [[WP:CITE]] to learn how to format citations.
The reverted text is copied here:
{{quote|CORRECTION: Depending on formulation type, a systematic method to construct Lyapunov functions for ordinary differential equations using their most general form in autonomous cases was given in 'Civelek, C. (2018). Archives of Control Sciences, volume 28 (LXIV), No. 2, pages 201–222 Doi:10.24425/1234562' though ... According to a lot of applied mathematicians, for a dissipative gyroscopic system a Lyapunov function could not be constructed. However, using the method expressed in the publication above, even for such a system a Lyapunov function could be constructed as given in 'Civelek, C.; Cihanbegendi, Ö. (2020). Frontiers of Information Technology & Electronic Engineering, volume 21, pages 629–634, https://doi.org/10.1631/FITEE.1900014'. In addition,...
References
* Civelek, C. (2018). Archives of Control Sciences, volume 28 (LXIV), No. 2, pages 201–222 Doi:10.24425/123456
* Civelek, C.; Cihanbeğendi, Ö. (2020). Frontiers of Information Technology & Electronic Engineering, volume 21, pages 629–634 Doi: 10.1631/FITEE.1900014
}} [[User:The-erinaceous-one|The-erinaceous-one]] ([[User talk:The-erinaceous-one|talk]]) 23:56, 18 April 2023 (UTC)
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