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&lt;div class=&quot;lastModified&quot;&gt;Utolsó módosítás: 2025.12.21. 03:24 Szuper Admin (admin)
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	&lt;pre class=&quot;comment&quot; style=&quot;margin-top: 0; margin-bottom: 0;&quot;&gt;&lt;u&gt;Megjegyzés&lt;/u&gt;: ISSN:2836-3787&lt;/pre&gt;
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      <comment>Funding Agency and Grant Number: National Natural Science Foundation of China [12272167]; National Research, Development and Innovation Office of Hungary [NKFI-K138621]; HUN-REN Hungarian Research Network
            Funding text: This work was supported in part by the National Natural Science Foundation of China [Grant no. 12272167] , the National Research, Development and Innovation Office of Hungary [Grant no. NKFI-K138621] and the HUN-REN Hungarian Research Network. We are grateful to Bauer Balazs for his help in improving the language and clarity of the manuscript.</comment>
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&lt;div class=&quot;lastModified&quot;&gt;Utolsó módosítás: 2025.12.19. 23:28 Szuper Admin (admin)
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	&lt;pre class=&quot;comment&quot; style=&quot;margin-top: 0; margin-bottom: 0;&quot;&gt;&lt;u&gt;Megjegyzés&lt;/u&gt;: Funding Agency and Grant Number: National Natural Science Foundation of China [12272167]; National Research, Development and Innovation Office of Hungary [NKFI-K138621]; HUN-REN Hungarian Research Network
            Funding text: This work was supported in part by the National Natural Science Foundation of China [Grant no. 12272167] , the National Research, Development and Innovation Office of...&lt;/pre&gt;

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      <abstractText>Virtual balancing tasks facilitate the study of human motion control: human reaction to the change of artificially introduced parameters can be studied in a computer environment. In this article, the dynamics of human stick balancing are generalized using fractional-order derivatives. Reaction delay sets a strong limitation on the length of the shortest stick that human subjects can balance. Human processing of visual input also exhibits a memory effect, which can be modelled by fractional-order derivatives. Therefore, we hypothesize a delayed fractional-order PD control of the unstable fractional-order process. The resulting equation of motion is investigated in a dimensionless framework, and stabilizability limits are determined as a function of the dynamics's order. These theoretical limits are then compared with the results of a systematic series of virtual balancing tests performed by 18 subjects. The comparison shows that the theoretical stabilizability limits for controllers with fixed fractional order correspond to the measured data points. The best fit is obtained if the fractional order of the underlying control law is 0.475.</abstractText>
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	&lt;pre class=&quot;comment&quot; style=&quot;margin-top: 0; margin-bottom: 0;&quot;&gt;&lt;u&gt;Megjegyzés&lt;/u&gt;: Funding text: The research reported in this article has been supported by the National Research, Development and Innovation Office (Grant no.NKFI-K138621), by the HUN-REN Hungarian Research Network and by Project no. TKP-9-8/PALY-2021, which has been implemented with the support provided by the Ministry of Culture and Innovation of Hungary from the National Research, Development and Innovation ...&lt;/pre&gt;
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