On the Theoretical Stability Analyses and its Application of a Stochastic Control System with Dynamics Fluctuation

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In this study, we focus on two properties, time delays and random fluctuations in human motor control mechanism, and investigate the effects of the fluctuation to the stability and a behavior of the stochastic linear systems with the time-delay. The control performance improvements due to fluctuation are shown from both aspects of numerical/practical simulations and its theoretical analyses.For a conventional controller design, a random component such as fluctuation was a target to be eliminated from a system as a factor causing performance reduction. In contrast to this fact, the results in this paper suggest that an appropriate fluctuation in control systems can achieve the better control performances.