2011
DOI: 10.5687/sss.2011.244
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Abstract: A stochastic explanation is provided to investigate how human subjects maximize robustness of their balance control while exhibiting on-off intermittent behavior. To this end, the human balance control is modeled by an inverted pendulum with random delayed state feedback. Stochastic analysis based on Lyapunov exponents demonstrates that the on-off intermittency can arise under a neutrally stable condition. Furthermore, the frequency response of statistical moments is derived to show that the neutrally stable c… Show more

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Cited by 9 publications
(9 citation statements)
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References 14 publications
(20 reference statements)
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“…(2). The dotted and broken lines indicate the MDE solutions using the conventional Gaussian SEL [16,21] and Laplacian SEL gains listed in Table 2, respectively. Furthermore, the values shown in each graph indicate the RSS fitness values of these MDE solutions to the corresponding Monte-Carlo simulation results.…”
Section: Moment-response Predictionmentioning
confidence: 99%
“…(2). The dotted and broken lines indicate the MDE solutions using the conventional Gaussian SEL [16,21] and Laplacian SEL gains listed in Table 2, respectively. Furthermore, the values shown in each graph indicate the RSS fitness values of these MDE solutions to the corresponding Monte-Carlo simulation results.…”
Section: Moment-response Predictionmentioning
confidence: 99%
“…Example 7.11. The inverted pendulum is a typical nonlinear system whose dynamics has been investigated in [128] and [242]. Obviously, the upward equilibrium of the pendulum is an unstable state of this system.…”
Section: Illustrative Examplementioning
confidence: 99%
“…Without the linear growth condition on the drift coefficient, Hu, Wu, and Huang (2012) examined the asymptotic stability with the general decay rate of a class of neutral stochastic differential equations with unbounded delay. For a detailed understanding, please refer to the literature (Adomian 1986(Adomian ,1993Luo 2007;Mao 2007;Yang, Gao, and Shi 2009;Yang, Zhang, and Shi 2010;Ohtagaki 2012;Xu, Lam, and Yang 2012;Yoshida and Higeta 2012).…”
Section: Introductionmentioning
confidence: 98%